how the scientist evolve?
Your own word
Answers
Answer:
Evolution is a consequence of the interaction of four factors: (1) the potential for a species to increase in number, (2) the genetic variation of individuals in a species due to mutation and sexual reproduction
Related Questions
which parts of the flower are under more intensive selection for showiness (size, scent, color), the seed-producing part or the pollinator-producing parts
Answers
Answer:
The pollinator-producing parts.
Explanation:
Showiness, as described in the question, is based on size, scent, and color.
The pollinator-producing parts have certain scents, sizes, and colors to 'pop out' so they attract pollinators such as bees, so the flower can reproduce.
recall that the osmolarity of the gastric lfuid, plasma, interstitial fluid, and intracellular fluid is apporximately 280mosm to 300mosm.
Answers
The osmolarity of the gastric fluid, plasma, interstitial fluid, and intracellular fluid is approximately 280mosm to 300mosm.
This means that the concentration of solutes in these fluids is relatively balanced and within a normal range. It is important for the body to maintain this osmotic balance to ensure proper cellular function and overall health. If there is an imbalance in osmolarity,
it can lead to issues such as dehydration or swelling of cells. Therefore, monitoring and maintaining osmotic balance is a critical aspect of physiological regulation in the body. To answer your question regarding the osmolarity of various bodily fluids: The osmolarity of gastric fluid, plasma, interstitial fluid, and intracellular fluid is approximately 280 to 300 milliosmoles per liter (mosm/L). This range is essential for maintaining proper physiological functions and homeostasis within the body.
To know more about interstitial fluid visit:
https://brainly.com/question/30667781
#SPJ11
Which of the following best supports a claim that an E. coli strain has a mutation in gene E that results in the production of a nonfunctional enzyme?
A.(A
Cells of this strain synthesize very little of the repressor protein and produce a large amount of tryptophan.
B. RNA polymerase does not bind to the promoter of the operon in cells of this strain unless tryptophan is added to the nutrient medium.
C.©
The operator sequence of the operon always has repressor proteins bound to it, independent of the amount of tryptophan in the nutrient medium.
D.mRNA is continuously transcribed from the operon, but the amount of tryptophan produced from the cells of this strain remains low.
Answers
The correct answer is D. mRNA is continuously transcribed from the operon, but the amount of tryptophan produced from the cells of this strain remains low.
This answer suggests that the mutation in gene E is affecting the function of the enzyme responsible for producing tryptophan, leading to low levels of tryptophan even though mRNA is being transcribed.
Option A is not related to the function of gene E, while option B describes a mechanism of gene regulation that is not relevant to this question. Option C suggests that the repressor is always bound to the operator, which is not consistent with the regulation of the tryptophan operon.
Therefore, options D best supports a claim that an E. coli strain has a mutation in gene E that results in the production of a nonfunctional enzyme.
Learn more about Nonfunctional Enzyme at
brainly.com/question/30733957
#SPJ1
which is most likely the slow movement in the multimovement cycle?
Answers
In a multi-movement cycle, the Adagio movement is most likely the slow movement.
Adagio is the slow movement of a multi-movement cycle, often followed by a Minuet or Scherzo in a four-movement cycle. It's generally the second movement in multi-movement works, following the opening Allegro. The Adagio is a musical term used to describe a slow and measured tempo. The tempo is meant to be leisurely, which is ideal for pieces that have a calming or introspective quality. The word "adagio" comes from the Italian language and means "at ease."
In addition to the Adagio, the four-movement cycle typically includes an opening Allegro movement, a Minuet or Scherzo (a movement in triple time), and a closing Allegro. The third movement of a five-movement cycle is often a slow, lyrical Adagio or Andante.
To know more about multi-movement cycle, refer to the link below:
https://brainly.com/question/31021563#
#SPJ11
Tapeworms attach themselves to the inner surface of the intestine in cows and consume some of the passing food material before the cow can obtain the material's nutrients. Which statement best explains the role the tapeworm plays in relation to the cow?
A.
The tapeworm is a predator because it lives inside of and attacks the cow.
B. The tapeworm is a competitor because it consumes nutrients the cow consumes.
C. The tapeworm is a commensalist because it cannot survive without a cow host to protect it.
D.
The tapeworm is a parasite because it benefits from living inside the cow and harms
the cow
Answers
D.The tapeworm is a parasite because it benefits from living inside the cow and harms
the cow
The statement that best explains the role the tapeworm plays in relation to the cow is option D: "The tapeworm is a parasite because it benefits from living inside the cow and harms the cow."
A parasite is an organism that benefits from living in or on another organism, known as the host, while causing harm to the host. Tapeworms are classic examples of parasites. In the case of a tapeworm infestation in cows, the tapeworm attaches itself to the inner surface of the cow's intestine and feeds on some of the passing food material before the cow can obtain the nutrients from it.
Tapeworms have specialized structures called scolex and suc-kers that allow them to attach firmly to the intestinal lining of the cow. Once attached, they absorb nutrients from the digested food passing through the intestine, effectively competing with the cow for nutrients. This can lead to reduced nutrient absorption by the cow and subsequent nutritional deficiencies, which can impact the cow's health and overall well-being.
Meanwhile, the tapeworm benefits from this parasitic relationship by obtaining nourishment and a protected environment inside the cow's intestine, where it can reproduce and complete its life cycle.
Therefore, option D, "The tapeworm is a parasite because it benefits from living inside the cow and harms the cow," accurately describes the relationship between the tapeworm and the cow. The tapeworm benefits at the expense of the cow, consuming nutrients that the cow would otherwise obtain for its own growth and survival, resulting in a parasitic interaction.
To learn more about Tapeworms, here
https://brainly.com/question/30761314
#SPJ2
I have a question that looks like this
Tacgcgttcgctggtcaagtgcagcacgccttccatgcaggtcaaaattttttcatagaaaaaacccagatc
I don’t understand how to decode it can someone help?
Answers
Answer:it is a sequence of Nucleotides of a DNA molecule
Explanation:
each three nucleotides encods an amino acid and is called a coden, the association of an amino acids gives a protein which are responsible for a function in the body. this sequence means a group of an amino acids: ttc means lysine/this just like an example to understand how to encodes this sequence,also, it has 27 amino acids try to encodes its like this way and using the table of code geneticsWhat insect lends its name to the concept that tiny actions can have massive consequences?.
Answers
Butterfly insect lends its name to the concept that tiny actions can have massive consequences.
The butterfly effect is the theory that small things can have non-linear effects on a big system. The concept is illustrated by a butterfly fluttering its wings and generating a typhoon. Of obviously, a single act like a butterfly flapping its wings cannot generate a typhoon.
Lorenz gained a tremendous insight into how nature works as a result of the unexpected outcome: little adjustments can have big implications. After Lorenz proposed that the flap of a butterfly's wings may eventually generate a tornado, the theory became known as the "butterfly effect."
To learn more about butterfly effect
https://brainly.com/question/20291921
#SPJ4
Fill in the blank:
Word Bank:
Cyclins, Inactivation, Skin, Cancer, Chromatids, Nerve
In multicellular organisms, cell growth and division is very controlled. Some cells like muscle and _______ cells stop dividing after maturity. Other cells like ______ and blood cells grow and divide rapidly through life. _______ are proteins that regulate the timing of the cell cycle, "telling" the cell when to divide. If cells stop responding to regulation, uncontrolled cell growth can lead to ______.
Answers
The growth and development of an organism are dependent on the control and coordinated activities of the cells, tissues, and organs.
The correct blanks for the given paragraph are:
In multicellular organisms, cell growth and division are very controlled. Some cells like muscle and nerve cells stop dividing after maturity. Other cells like Skin and blood cells grow and divide rapidly through life. Cyclins are proteins that regulate the timing of the cell cycle, "telling" the cell when to divide. If cells stop responding to regulation, uncontrolled cell growth can lead to cancer.
The statements can be explained as:
The muscle and nerve cells stop dividing after maturity. The nerve cells lack centrioles, which play a crucial role in the division of cells. Thus, the nerve and muscle cells do not divide. The skin and blood cells divide continuously and throughout life. The cells when are damaged or dead, these cells replace them. Cyclins are the proteins, which regulate and activate the cell cycle by binding with the cyclin-dependent kinases.Cancer is repetitive and uncontrolled cell growth. It can be caused due to failure of regulation of cell cycle or any carcinogen exposure.
Therefore, the correct answers are nerve, skin, cyclin, and cancer.
To know more about cell division, refer to the following link:
https://brainly.com/question/19644932
im dumb please help me
*the organelle is mitochondria*
Answers
Answer:
Explanation:
Definition Mitochondria (singular: mitochondrion) are organelles within eukaryotic cells that produce adenosine triphosphate (ATP), the main energy molecule used by the cell. For this reason, the mitochondrion is sometimes referred to as “the powerhouse of the cell”.
In response to stimuli from the sympathetic nervous system, the arrector pili _______
a. are glands on the skin surface
b. can lead to excessive sweating
c. are responsible for goose bumps
d. secrete sebum
Answers
The arrector pili cause goosebumps in response to stimuli from the sympathetic nervous system.
It's best to choose C.
The Arrector Pili muscle is stimulated by what neurological system?sympathetic musculoskeletal nerves
Arrector pili muscles are surrounded by sympathetic pilomotor neurons, which discharge norepinephrine (NE), a neurotransmitter that causes muscles to contract and hairs to stand up in response to cold.
What response does the sympathetic nervous system have to stimulation on the arrector pili?When the small arrector pili muscles at the base of each hair contract and pull the hair straight up, goose bumps are produced. The sympathetic nervous system, which is in charge of many fight-or-flight reactions, initiates the reflex.
To know more about goose bumps visit:-
https://brainly.com/question/10161690
#SPJ4
mary put her hand on a hot stove. which neuron is responsible for sending a pain message up her spinal column, where it would then enter into the main area of the cord
Answers
The sensory neuron is responsible for sending a pain message up her spinal column, where it would then enter into the main area of the cord. Sensory neurons are nerve cells responsible for converting external stimuli from the environment into internal electrical impulses.
Sensory neurons are a type of neurons that transmit information from sensory receptors in the body to the central nervous system (brain and spinal cord).Their function is to communicate information regarding sensory stimuli from both external and internal environments.
Once the sensory neuron receives the stimulus, it transmits a message in the form of an electrical impulse to the central nervous system, which will ultimately result in a response.Sensory neurons are specialized cells in the nervous system that transmit sensory information (like touch, sound, light, and other sensory stimuli) from sensory receptors to the central nervous system, which then processes and interprets the information to produce a response.
To know more about sensory neuron visit:
https://brainly.com/question/29521319
#SPJ11
partial credit given. Go outside and collect a small amount of soil in the containers supplied. You will probably be more successful if you select soil from a vegetated area. Use your soil to prepare a wet mount following the directions you were given in class. Try to use 2 mm' of soil. To help you visualize this, draw two "3d" boxes, each representing a cubic millimeter, actual size, here: Use your microscope to examine the entire area under your coverslip. Count all the nematodes you see. how many cubic mm are in I cm ? How many nematodes were in your mm' of soil? What is your calculated number of nematodes per cubic mm? Based on your data, how many nematodes would you calculate there to be in a cubic centimeter of soil? How many would you calculate there to be in a cubic meter of soil?
Answers
There are 1,000 cubic millimeters (mm³) in 1 cubic centimeter (cm³). This is because 1 cm is equal to 10 mm, and when you calculate the volume of a cube, you raise the length of each side to the power of 3.
To determine the number of nematodes in your mm² of soil, you need to count them under the microscope. Let's say you counted 10 nematodes in your mm².
To calculate the number of nematodes per cubic millimeter (mm³) of soil, you need to know the depth of the soil you examined. If you used 2 mm of soil, the calculation would be: (Number of nematodes in mm²) / (Volume of soil in mm³) = 10 nematodes / (2 mm x 1 mm x 1 mm) = 10 nematodes / 2 mm³ = 5 nematodes per mm³.
To calculate the number of nematodes in a cubic centimeter (cm³) of soil, you would use the same ratio of nematodes per mm³. Since there are 1,000 mm³ in 1 cm³, the calculation would be: (Number of nematodes per mm³) x (1,000 mm³) = 5 nematodes/mm³ x 1,000 mm³ = 5,000 nematodes per cm³.
To calculate the number of nematodes in a cubic meter (m³) of soil, you would again use the same ratio. Since there are 1,000,000 cm³ in 1 m³, the calculation would be: (Number of nematodes per cm³) x (1,000,000 cm³) = 5,000 nematodes/cm³ x 1,000,000 cm³ = 5,000,000,000 nematodes per m³.
learn more about nematodes here:
https://brainly.com/question/9575693
#SPJ11
How does temperature and ph affect the reaction rate of catalase? Propose a way to refine your experiment to find the exact, optimal pH and temperature of Catalase
Answers
Answer:
caution here says that we have an enzyme called Trips In, and it has an optimum pH of 7.7 to 8 point. Oh, so it's asking. First of all, how does the rate of trips and catalysed reaction is affected by the following conditions? So the 1st 1 is changing the pH Teoh three point. Oh, so we know that in a normal curve of the optimal activity of enzyme, it's gonna be something like this as a bell curve. So basically, if it's at this is gonna be the optimum temperature range. And basically, if you're a lot lower than that, what's gonna happen is that the enzyme is going to de nature. So if we also run the reaction at 75 degrees Celsius, it's also going to de nature this end time. This is because the optimum temperature at running this is gonna be at body temperature, which would be around 35 degrees Celsius.
a new contraceptive drug for men is being tested
Answers
Answer:
University of Utah Health scientists are testing a new contraceptive gel for men. scientists believe the hormonal gel decreases a man's sperm production––reducing his chances of fathering a child
Explanation:
have great day
What is genetic dominance?
A trait that, if present, is always expressed
A trait that requires a homozygous allele
A trait that requires a heterozygous allele
Controlled genetic information
Answers
Yes there can be genotypes with both dominant alleles, but there can also be genotypes with one dominant allele and one recessive that still make the phenotype dominant.
Example:
R = Black Hair (Dominant)
r = Red Hair (Recessive)
RR = Black Hair (Homozygous)
Rr = Black Hair (Heterozygous)
a cell that protects the body by eating invading cells
Answers
Answer:
macrophage
Explanation:
PLEASE RESPOND! EMERGENCY!!!!! 15 POINTS!
most animal cells are surrounded by a layer of water with dissolved substances. For animals cells to function normally, there should be equal amounts of water diffusing into and out of the cell. Which type of surrounding fluid would result in equal amounts of water diffusing into and out of a cell?
A. Water with a higher concentration of solutes than the cytosol.
B. water with a lower concentration of solutes than the cytosol.
C. Water with the same concentration of solutes as the cytosol
Answers
Answer:
The fluid is called= isotonic
Explanation:
In an isotonic environment, the relative concentrations of solute and water are equal on both sides of the membrane. There is no net water movement, so there is no change in the size of the cell. When a cell is placed in a hypotonic environment, water will enter the cell, and the cell will swell.
i hope this helps.
Indicate the statement that correctly describes microbial colonies. (Check all that apply) A. A microbial colony is often visualized as an opaque spot on the surface of an agar plate or slant B. A microbial colony is a visible accumulation of microbial cells on the surface of an agar plate or slant C. Microbial colonies are readily visible in broth media D. The cells in an isolated colony are clones all descended from one cell deposited on an agar plate or slant at the time of inoculation
Answers
The correct statements describing microbial colonies are A, B, and D.
A microbial colony is often visualized as an opaque spot on the surface of an agar plate or slant, it is a visible accumulation of microbial cells on the surface of an agar plate or slant, and the cells in an isolated colony are clones all descended from one cell deposited on an agar plate or slant at the time of inoculation.
Microbial colonies are formed when a single cell divides and produces a population of identical cells, or clones, on the surface of an agar plate or slant. These colonies can be observed as opaque spots, which represent the growth of a large number of cells in a confined area.
They are not readily visible in broth media, as the cells are dispersed throughout the liquid and do not form discrete colonies. When a colony is isolated, it contains identical cells, all of which originated from the initial cell that was deposited during the inoculation process.
To know more about inoculation click on below link:
https://brainly.com/question/30480993#
#SPJ11
What 5 conditions need to be met for a population to be genetic equilibrium
Answers
In order to meet a genetic equilbrium, a population should:
1. Have no changes in the DNA sequence.
2. Be a very large population.
3. Perform random mating.
4. Have no migration movements taking place.
5. Have no natural selection occuring.
increased population, a higher body temperature, and a rapidly beating heart are all possible responses to a stressful situation.these body responses are most likely a direct result of the interaction
Answers
Increased perspiration, a higher body temperature, and a rapidly beating heart are all possible responses to a stressful situation, and these body responses are most likely a direct result of the interaction of the nervous and hormonal systems.
What does the interaction of the nervous and hormonal systems mean?The interaction of the nervous and hormonal systems refers to the body process in which the expression of certain chemical messengers called hormones may control concomitant responses triggered by the nerve system, which is an organ system aimed at sensing signals from the environment in order to process them and then produce a response.
Therefore, with this data, we can see that the interaction of the nervous and hormonal systems may lead to increase perspiration, the temperature inside the body, and the heart pumps when the body is under a given stressful situation.
Learn more about hormones and nerve system here:
https://brainly.com/question/23310223
#SPJ1
What is the electron charge of two electrons?
Answers
Discuss why myrtle rust is a fungal disease of concern in New Zealand.
Describe why the fungus attacks the parts of the tree that it does.
Explain what someone should do if they find that one of their trees has a myrtle rust infection.
Discuss how myrtle rust infecting manuka trees can affect both beekeepers.
Answers
The fungus attacks the leaves, shoots, and flowers of the trees, causing distinctive yellow-orange powdery pustules on the undersides of the leaves and eventual defoliation of the plant. The fungus primarily spreads through windborne spores, which can travel long distances and infect susceptible plants throughout the country. The fungus can survive on dead plant material, making it difficult to eradicate once established in an area.
If someone finds that one of their trees has a myrtle rust infection, they should report it immediately to the Ministry for Primary Industries (MPI) or their local biosecurity agency. It is crucial to prevent the spread of the disease by avoiding movement of infected plant material or soil, cleaning gardening tools and machinery after use, and following other biosecurity guidelines.
Myrtle rust infecting manuka trees can affect both beekeepers and honey production. Manuka honey is a valuable and unique product in New Zealand, and the manuka tree is a critical source of nectar for honeybees. The fungus can cause significant damage to manuka trees, reducing the amount and quality of nectar available for bees, which can affect honey production and beekeeper livelihoods. Additionally, myrtle rust infections can make the trees more susceptible to other pests and diseases, leading to further damage and economic losses. Overall, myrtle rust is a serious threat to New Zealand's environment, economy, and cultural heritage, and it requires ongoing efforts to prevent its spread and manage its impacts.
Write 2 – 3 sentences explaining why groundwater is safe for humans to drink.
Answers
Answer:
Typically, groundwater is naturally clean and safe to drink. Because the soil on top acts as a filter, groundwater is usually free of micro-organisms that may cause disease. However, groundwater can become contaminated if the casings or caps for wells are not installed in the correct way.
1. In Japanese four o'clock flowers, color is inherited by genes that show incomplete dominance. In such flowers, a cross between a homozygous red flower and a homozygous white flower will always result in pink flowers.
Answers
Answer:
Explanation:
Incomplete dominance occur when two allele expresses itself in the phenotype of an organism.
Its a situation where by an allele is not dominant over another other in an heterozygous condition but it gives a blend of the two allele in the phenotype of the offspring.
Example is the phenotype of a 4'o clock plant that gives pink flower when a red flower is crossed with white flower.
Why are venus flytraps a plant not animal?
Answers
Answer:
As photosynthetic plants, Venus flytraps do not rely on carnivory for energy but rather use the nitrogen-rich animal proteins to enable their survival in marginal soil conditions.
Don't know if i'm right but hopefully, lol
The Venus flytrap, a small perennial herb, is one of the most widely recognized carnivorous plant species on Earth. It occupies distinct longleaf pine habitats in the Coastal Plain and Sandhills of North and South Carolina.
(06.05 mc) daisy is a botanist who works for a garden that many tourists visit. the function f(s) = 3s 35 represents the number of flowers that bloomed, where s is the number of seeds she planted. the function s(w) = 15w represents the number of seeds she plants per week, where w represents the number of weeks. part a: write a composite function that represents how many flowers daisy can expect to bloom over a certain number of weeks. (4 points) part b: what are the units of measurement for the composite function in part a? (2 points) part c: evaluate the composite function in part a for 36 weeks. (4 points)
Answers
The concept of "composite function" will help you to address this issue. By changing one function into another, you can make this function.
What is composite function?
A function whose values are obtained from two given functions by first applying one to an independent variable and then using the result to apply the second, and whose domain is made up of those independent variable values for which the first function's result falls within the second function's domain.
The issue can be fixed as follows:
Part A: Given that f(s) = 3s+35 and s(w) = 15w, where f is the number of blooming flowers.
s is the quantity of seeds planted.
where w is the week's length.
As a result, the composite function that describes how many flowers Daisy can anticipate to bloom over a specific number of weeks can be written as follows:
- f(s(w))=f(15w)=3(15w)+35=45w+35.
Part B: The number of flowers that bloomed during a certain period of weeks is the unit of measurement for the composite function, f(s(w)) = 45w + 35.
Part C: The total number of flowers that are anticipated to bloom over the course of 36 weeks is computed as follows: f(s(w)) = 45w + 35 = (45 X 36) + 35 (here, w=36 weeks) = 1620 + 35 = 1655, meaning that 1655 flowers are anticipated to blossom over the course of 36 weeks.
Learn more about the Composite function with the help of the given link:
https://brainly.com/question/20379727
#SPJ4
Cuáles son las características de la vida que no están presentes en un virus?
Answers
Answer:
을 수 있는 것입니다 수 있는 것입니다 수 있는 것입니다 수 있는 것입니다 수 있는 것입니다 것입니다
Explanation:
I'm actually a Korean I cannot understand that what you said.
How many species are only found in Madagascar?
Answers
What can cause a population to be in a random distribution?
Answers
Resources can be dispersed equally or erratically through random distribution. Like many other plants whose seeds are dispersed by wind, dandelion growth follows a random pattern.
An unpredictably distributed population is what?As is the case with plants that contain wind-dispersed seeds, individuals in a random distribution are scattered at unpredictably large distances from one another. As with elephants at a watering well, individuals are gathered together in a clumped distribution.
What does a random sample's distribution look like?An accurate probability distribution of a statistic is known as a sampling distribution, and it is created by repeatedly sampling a certain population. It depicts a spectrum of potential results for a statistic, such as the mean or mode of a variable, for a population.
To know more about plants visit :-
https://brainly.com/question/13976657
#SPJ1
QUESTION 1 Exercise 11.10. Butterflies. Alice, Bob, and Charlotte are looking for butterflies. They look in three separate parts of a field, so that their probabilities of success do not affect each other. • Alice finds 1 butterfly with probability 17%, and otherwise does not find one • Bob finds 1 butterfly with probability 25%, and otherwise does not find one • Charlotte finds 1 butterfly with probability 45%, and otherwise does not find one Let X be the number of butterflies that they find altogether. Write X as the sum of three indicator random variables, X1, X2, X3 that indicate whether Alice, Bob, Charlotte (respectively) found a butterfly. Then X= X1+X2 +X3. Find the expected value of X by finding the expected value of the sum of the indicator random variables. Your answer will have two decimal places. **This is a straight forward expected value of a sum of random variables, nothing fancy here! QUESTION 2 Exercise 11.16. Flipping coins. Flip a coin until the second head comes up. Let X be the number of flips needed to get the second head. What is the E(X). The first step is to find the expected value of getting the first head. Is this like Example 11.10, sampling without replacement, OR like Example 11.11, sampling with replacement? O A. Example 11.10, sampling without replacement O B. Example 11.11, sampling with replacement QUESTION 3 Exercise 11.16. Flipping coins. Flip a coin until the second head comes up. Let X be the number of flips needed to get the second head. What is the E(X). The first step is to find the expected value of getting the first head. What is the expected value of getting the first head? This will be an integer answer. QUESTION 4 Exercise 11.16. Flipping coins. Flip a coin until the second head comes up. Let X be the number of flips needed to get the second head. What is the E(X). The next step is to find the expected value of getting the second head. Because this is identical to finding the expected number of rolls for the first head (independent events), we just multiply the first head's expected value by 2. This will be an integer answer. QUESTION 5 Exercise 11.17 (a). Waiting for favorite song. Michael puts his iTunes on shuffle mode where songs are not allowed to be replayed. He has 2,781 songs saved on iTunes, and exactly one of these is his favorite. How many songs is he expected to have to listen to until his very favorite song comes up? Is this like Example 11.10, sampling without replacement, OR like Example 11.11, sampling with replacement? A. Example 11.11, sampling with replacement B. Example 11.10, sampling without replacement
Answers
In Exercise 11.10, the expected value of the number of butterflies found by Alice, Bob, and Charlotte is obtained by finding the expected value of the sum of three indicator random variables.
In Exercise 11.16, the expected value of the number of flips needed to get the second head in a coin flipping experiment is determined. These exercises involve different scenarios of sampling with and without replacement.
In Exercise 11.10, the expected value of X, the total number of butterflies found, is found by calculating the expected value of each indicator random variable (X1, X2, X3) representing whether Alice, Bob, and Charlotte found a butterfly, respectively.
The expected value of each indicator variable can be obtained by multiplying the probability of success (finding a butterfly) by 1 and the probability of failure (not finding a butterfly) by 0. Then, the expected value of X is calculated as the sum of the expected values of the indicator variables.
In Exercise 11.16, the expected value of X, the number of flips needed to get the second head, is determined. To find this value, we first need to find the expected value of getting the first head. This scenario is similar to Example 11.11, which involves sampling with replacement.
Each coin flip is an independent event, and the probability of getting a head is constant at 0.5.
Therefore, the expected value of getting the first head is 1/p, where p is the probability of success (0.5 in this case).
In Exercise 11.17 (a), the scenario of waiting for a favorite song in Michael's iTunes playlist involves sampling without replacement. Each song played is not replayed, and there is only one favorite song among the total number of songs.
Therefore, this scenario is similar to Example 11.10, sampling without replacement.
To find the expected number of songs Michael needs to listen to until his favorite song comes up, the formula for sampling without replacement is used, which is the reciprocal of the probability of selecting the favorite song at each step.
To learn more about expected value visit:
brainly.com/question/28197299
#SPJ11