Let X have a binomial distribution with parameters n = 25 and p. Calculate each of the following probabilities using the normal approximation (with the continuity correction) for the cases p = 0. 5, 0. 6, and 0. 8 and compare to the exact binomial probabilities calculated directly from the formula for b(x; n, p). (Round your answers to four decimal places. )
Answers
Answer:
To use the normal approximation to the binomial distribution, we need to first calculate the mean and standard deviation of the distribution using the following formulas:
μ = np
σ = sqrt(np(1-p))
For n = 25 and p = 0.5, we have:
μ = 25 * 0.5 = 12.5
σ = sqrt(25 * 0.5 * 0.5) = 2.5
To use the normal approximation, we need to standardize the binomial distribution by converting it to a standard normal distribution using the formula:
Z = (X - μ) / σ
where X is the number of successes in the binomial distribution.
For example, to find the probability of X ≤ 10 using the normal approximation, we can standardize the distribution as follows:
Z = (10 - 12.5) / 2.5 = -1
Using a standard normal table or calculator, we can find that the probability of Z ≤ -1 is approximately 0.1587. To use the continuity correction, we adjust the probability as follows:
P(X ≤ 10) ≈ P(Z ≤ -0.5) = 0.3085
We can compare this to the exact binomial probability calculated directly from the formula:
P(X ≤ 10) = b(10; 25, 0.5) = 0.0563
For p = 0.6 and p = 0.8, we can repeat this process to find the probabilities and compare them to the exact binomial probabilities. The results are shown in the table below:
We can see that the normal approximation provides a good approximation to the exact binomial probabilities when n is large and p is not too close to 0 or 1. As p gets closer to 0 or 1, the normal approximation becomes less accurate and the exact binomial probabilities should be used instead.
Related Questions
A long-distance runner is preparing for a race. She expects to need a great deal of energy. Which food group should she focus on eating?
A. Fiber
B. Carbohydrates
C. Proteins
D. Fats
Answers
Answer:
C Proteins
Explanation:
Protein gives the most energy
Answer:
protein
Explanation:
because it helps to repair worn out tissue in the body and make the body in a balance position
Please helpppp:
Photosynthesis occurs mostly in the______of a plant.
Answers
Answer:
chloroplasts
hope you have a good day!
All living things have four basic needs to live and function. List these four needs. Sample Response: All living things require water, air, food, and a place to live in order to survive.______________ What did you include in your response? Check all that apply. Living things require water. Living things require air. Living things require food. Living things require a place to live.
Answers
Answer:
food water shelter and air.
Explanation:
Joey is 25 years old and has been exercising to improve his cardiovascular endurance. Based on his age, what should Joey's MAXIMUM Heart Rate be during exercise?
Type your answer as a number.
Answers
how do i get my allergies to go away without any medicine?
Answers
Answer:
Natural Allergy relief:
Butterbur
Butterbur is a shrub that grows in wet, marshy ground. Butterbur extract is mostly praised for its ability to reduce the frequency of migraines. And there are a few studies that show that butterbur may be helpful for those suffering from hay fever (allergic rhinitis). A 2002 randomized study, which featured 131 subjects, concluded that butterbur tablets can be just as effective as an oral antihistamine. More research needs to be done to confirm the shrub's effectiveness, however. So far it has not been proven to help allergic skin reactions or asthma.
Local Honey
Because unprocessed honey contains small amounts of pollen, there's a common belief that eating locally harvested honey will help them tolerate the pollen circulating in their area. But it might not be as helpful as you think, says Dr. Wendt.
"In low doses it may work for mild allergies, but I typically like to dispel that because bees don't harvest honey on a time that is consistent with allergy," she says. "In other words, by the time [the honey] is harvested and comes back to us, it's past our seasons."
Plus the pollen that is found in honey comes from flowers, not trees, grasses, or weeds which are the main culprits of causing allergies, according to the American College of Allergy, Asthma & Immunology.
So for severe allergies, eating honey is more of a sweet treat than an actual treatment. Still, honey can have anti-inflammatory effects that can soothe conditions like eczema, adds Dr. Wendt, which in most cases is not an allergic reaction.
Garlic
Garlic is a natural anti-inflammatory because it contains a compound called diallyl disulfide, which fights the production of pro-inflammatory cytokines. It's also a well-known immune booster.
When it comes to allergies, some naturopaths tout garlic as one of the best natural allergy remedies because it contains the antioxidant quercitin. Quercitin has the capacity to inhibit the release of histamines. To see if it helps, you can spice up your food with garlic. Many people also take quercitin supplements, but Dr. Mitchell says he's "seen minimal benefit with those things."
Rosemary
Rosemary not only tastes good on your steak, it contains rosmarinic acid, which has been shown to have anti-inflammatory and antioxidant effects. Some small studies have found that it may help relieve asthmatic symptoms. One study discovered that rosmarinic acid can also suppress allergic immunoglobulin, however more extensive research needs to be conducted to confirm its efficacy. If you do try taking a rosmarinic acid supplement, experts advise taking it with meals to avoid an upset stomach.
Turmeric
The most active ingredient in this yellow spice is a compound called curcumin. Curcumin, some researchers claim, has promising anti-inflammatory abilities. A pilot study conducted in 2016 with 241 patients found that those who took a turmeric supplement over the course of two months saw a reduction in symptoms from allergic rhinitis. They had less nasal congestion and less nasal airway resistance. It's important to note, though, that there isn't a lot of research that points towards turmeric as being an effective spice for allergy relief.
Hope this helps :)
(I'm a big natural health person) (If you're wondering)
Answer:
Eat local, organic honey
Explanation:
Mayoclinic states, "Honey has been studied as a cough suppressant and may have anti-inflammatory effects. In addition, some experts point out that honey can contain traces of flower pollen — an allergen. And one treatment for allergies is repeated exposure to small amounts of allergens." Care.com states, "The theory is that eating the honey with those spores can desensitize the immune system. 'It's the same principal as allergy shots, where patients are given very small amounts of the substance they're allergic to. Over time, the immune system will recognize the offender so it doesn't launch an attack'..."
How does breathing affect a person’s energy level?
Answers
Answer:
The way you breathe may be causing you to feel tired, fatigued, foggy, and uninspired.
This is because proper deep breathing helps balance oxygen and carbon dioxide levels in your blood.
This is vital for high energy levels and mental alertness.
Explanation:
please mark brainiest it really helps
Explain the difference between short term and long term goals. List one example of each
Answers
Answer: short term goal: getting a good grade on a test tomorrow
long term goal: eating healthy for 2 years
Explanation:
What makes the best realationship there are 3 things if you dont know dont anwser if you do know anwser and the reason why this health cause i dont want any of yall heart broke so yea there 3
Answers
Answer:
one thing is that they should love you for who you are and not by how you look.
second is that the person should treat you right and not like some nobody.
third, they should always be there for you no matter what.....
there is one more thing.....make sure you love them back.
What is the definition pneumonia
Answers
Answer: lung inflammation caused by bacterial or viral infection, in which the air sacs fill with pus and may become solid.
Explanation:
Answer:
lung inflammation caused by bacterial or viral infection, in which the air sacs fill with pus and may become solid. Inflammation may affect both lungs ( double pneumonia ), one lung ( single pneumonia ), or only certain lobes ( lobar pneumonia ).
Explanation:
it's basically an illness that affects your lungs
The sentence below from the section "2. So Does Your Heart" helps prove the claim that changes in gravity dramatically affect the cardiovascular system over time.
Without gravity, however, the heart and blood vessels change – and the longer the flight, the more severe the changes.
Which sentence from the article provides further support for the claim?
Answers
Jeannine, a 25-year-old nurse, just found out that her biological mother, a 50-year-old teacher, has breast cancer. Using the concepts of heredity and genes, how might this diagnosis in her family history affect Jeannine’s personal health? How might early detection and warning signs play a role in both Jeannie’s health care and the health care of her mother?
Answers
Jeannine's increased risk for breast cancer due to her family history may prompt her to be vigilant about regular screenings and genetic testing. Early detection and awareness of warning signs are crucial for both Jeannine and her mother's healthcare.
Jeannine's family history of breast cancer indicates a potential genetic predisposition to the disease. Certain gene mutations, such as BRCA1 and BRCA2, increase the risk of developing breast cancer. Jeannine may consider genetic testing to determine if she carries these mutations, as it can provide valuable information about her personal risk.
With this knowledge, she can work closely with healthcare providers to develop a proactive plan, including regular breast screenings and potentially preventive measures like increased surveillance or risk-reducing interventions. Early detection through screenings, such as mammograms or self-examinations, is vital for identifying breast cancer at its earliest stages, increasing treatment success rates and improving overall outcomes.
Both Jeannine and her mother would benefit from being educated about the warning signs of breast cancer and maintaining open communication with their healthcare providers to ensure timely interventions and necessary care.
To learn more about breast cancer here
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Running is higher intensity than walking.
Answers
is it true that humen have 5 scenes
Answers
Answer:
Humans have 5 senses
Explanation:
Touch Smell vision hearing Touch
(01.07 HC)
Explain the overload principle. Discuss the relationship between the principle of overload and the FITT principle. (6 points)
Your answer:
Answers
The FITT principle is a framework used to design a safe and effective exercise program. The principle of overload is a key component of the FITT principle. By progressively increasing one or more of the FITT variables, the body is forced to adapt to new demands, leading to improvements in physical fitness.
For example, if an individual wants to improve their cardiovascular endurance, they might increase the frequency of their workouts (i.e., how often they exercise), the intensity of their workouts (i.e., how hard they exercise), the time spent exercising (i.e., how long they exercise), or the type of exercise they perform (e.g., running instead of walking). By gradually increasing one or more of these variables over time, the individual can apply the overload principle and see improvements in their cardiovascular endurance.
——————
Show this answer some love
how do balance beam exercises help enhance movement skills?
Answers
Answer:
Body Control
Strengthen Ankles
Strengthen Feet
Answer:
Body Control
Strengthen Ankles
Strengthen Feet
Explanation:
Ellery's company has applied for a subsidy. What does this MOST likely mean?
A Ellery wants to stop offering health insurance to the employees.
B Ellery wants to get more healthcare workers hired on her staff.
C Ellery wants to get financial help for the employee healthcare costs.
D Ellery wants to import healthcare products from overseas into the United States.
Answers
Answer: B Ellery wants to get more healthcare workers hired on her staff.
Explanation: I only think this is the answer, it sounds most correct. so I am sorry if I am wrong
What is the best way to build heart and lung endurance?
Answers
If muscular endurance is your primary training goal, what variations would you choose for push ups? Explain your thinking.
Answers
Answer:
I would do more, possibly less strenuous reps.
Explanation:
Muscular endurance is not about how much you can lift, it's how long you can keep lifting a certain amount of weight.
Answer:
I would do closed grip push ups with slow repetitions because
Explanation: it strengthens the pecs and anterior deltoids and for endurance slow reps are best because you are getting a proper workout
Many noncommunicable diseases are chronic illnesses that usually heal once they go into remission.
True
False
Question 6 (1 point)
Making healthy lifestyle choices and forming healthy habits now can reduce your risk of developing cancer later in life.
True
False
Question 7 (1 point)
Asthma and chronic obstructive pulmonary disease cannot be cured, but medications can help manage the conditions and symptoms.
True
False
Question 8 (1 point)
Alcohol-based rubs are effective when soap and water are unavailable, even for visibly dirty hands.
True
False
Answers
This is PE so I didn't know what subject to put down
Hey can some of you guys help me determine a respectable jump distance (check the picture to know what im talking abt) so my teacher doesn't get suspicious of me because I wasn't feeling well so I couldn't do the assignment. And brainly is being so weird so if i tried to give 20 points it might give you 15 or 10. Thank you
Answers
ℍ! ℍ '? . , ℕ , , , , .
Answers
Answer: hellooooooooooooooo
Answer:
Oh, oh
Oh, I can't get it back
But I don't want it back
I realized that she don't know how to act
Never been a du m b dude, no, I'm not dense
I just had a slight lack of common sense
I was the good guy
She was the bad girl
I'm thinking one girl
She thinking me, Earl, James, and Jimmy
Yep, she had plenty
But love for me, she didn't have any
I was inviting (her into my heart)
Hmm, but she was out riding (in some other man's car uh)
She was my night time (thought I was her star)
Guess I was wrong, but see, I'm strong
Won't take long for me to move on
Oh, please, don't worry 'bout me, I'm fine
(Please, don't worry 'bout me, I'm fine)
Only gonna play the fool one time
(Only gonna play the fool one time)
Trust me when I say that I'll be okay
Go on, girl (go on, girl)
Go on, girl (go on, girl)
Go on, girl
I can't get it back
But I don't want it back
I realized that she don't know how to act
Tried to settle down and look what I get
Thought it was my time, but I guess not yet
She at the b a r getting drinks from many men
I'm in the house, thinking she's with her gi rlfri end s
Just not knowin', truly not knowin'
I look back now like, "Man, I was open"
I was inviting (her into my heart), hey
But she was out riding (in some other man's car)
She was my night time (thought I was her star)
Guess I was wrong, but see, I'm strong
Won't take long for me to move on
Oh, please, don't worry 'bout me, I'm fine
(Please, don't worry 'bout me, I'm fine)
Only gonna play the fool one time
(Only gonna play the fool one time)
Trust me when I say that I'll be okay
Go on, girl (go on, girl)
Go on, girl (go on, girl)
Go on, girl
Ooh, the mistake I made was clear
(We never should've been together)
That's the reason you're not here
(I know that I can do much better)
Hey, not a single salty tear
Not a feelin' in my chest
Baby, I'm feelin' no stress
I'm too fly to be depressed
Go on, girl (go on, girl)
Go on, girl (go on, girl)
Mmm
Go on, girl, go on, girl
Oh, oh, oh, oh, hey, oh
Please, don't worry 'bout me, I'm fine
(Please, don't worry 'bout me, I'm fine)
Only gonna play the fool one time
(Only gonna play the fool one time)
Trust me when I say that I'll be okay
Go on, girl (go on, girl)
Go on, girl (go on, girl)
Go on, girl
Oh, please, don't worry 'bout me, I'm fine
(Please, don't worry 'bout me, I'm fine)
Only gonna play the fool one time
(Only gonna play the fool one time)
Trust me when I say that I'll be okay
Go on, girl (go on, girl)
Go on, girl (go on, girl)
Go on, girl
Mmm, go on, girl, go on, girl, go on, girl
I'll be fine
Explanation:
Help with two questions
1. Carrie runs into the house after school, eager to talk to her mother about going on a special biology field trip over Spring break. Carrie’s mom is at the computer working on her income tax return. Explain at least 3 steps Carrie can take to clearly communicate her desire to go on the field trip.
2. Explain three ways people can keep themselves motivated as they work toward achieving long-term goals.
Answers
2. People could write down the goals that they want to achieve, people could set themselves only one goal to achieve at a time so they don’t get to stressed over more then one goal and people could give themselves a time frame to finish that goal.
I hope this helped!
1. Carry is eager to talk to her mother about the special biology trip but her mom is busy on her computer as she is working on the income tax returns. Carry should wait till her mother finishes her work.
2. The three ways by which people can keep themselves motivated are by avoiding distractions, learning a new skill, and engaging in some hobbies.
What are the ways through which Carry can communicate her desire to her mother?If Carry is not able to resist her eagerness to tell her mother about her biology trip then she can just ask her mother if she could listen to her for a while. Even if her mother is very busy and does not pay attention to what she wants to say, Carry must try writing a note to her mother and can tell her about the biology trip by writing on paper. In this way, she would be able to express her eagerness about the trip and would not disturb her mother while she is working.
The three ways to keep oneself motivated for long-term goals is by removing any possible distractions while at work as minor distractions can make you lose your focus on your tasks. Learning new skills is another way to stay motivated for achieving a long-term goal. Engaging oneself in some activities of interest or hobbies that give you a break from a fixed schedule also motivates you to do your work more efficiently.
To learn more about biology, refer to the link:
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Why is the digestive system important?
Answers
Answer: Digestion is important for breaking down food into nutrients, which the body uses for energy, growth, and cell repair. Food and drink must be changed into smaller molecules of nutrients before the blood absorbs them and carries them to cells throughout the body.
Explanation:
Proteins break into amino acids
Fats break into fatty acids and glycerol
Carbohydrates break into simple sugars
I need help plz and thank you
‘Extra, Extra!’ used to be the popular call heard by newspaper sellers in city streets. For decades, the printing industry was the source of news and information for people everywhere. As technology has advanced, especially with the internet, people are reading printed newspapers and magazines less. Does this mean that pursuing a career along the Printing Technology pathway is heading down a dead-end path? Explain why or why not. What careers in the Printing Technology pathway do you think will continue?
Answers
Answer:
No it doesn't mean printing technology pathway is heading down a dead-end path because this is post modern age and each and every things are working scientifically and automatically .Through printing technology pathway we can continue the career like printing press operator, print binding and finishing worker and prepress etc...
However, if paper is no longer being printed as much as it used to, this could definitely help our environment. I see schools now are trying to get kids to use computers more. At my highschool, kids are allowed to take their computers home with them. I think this a great way to cut down on paper use.
Think about how many sheets of paper one student has at the end of the year, given that he/she did not throw away anything. Usually their binders are jammed packed with papers. Now think about that student times a couple of hundred in the school, times millions across the country, times billions all across the world.
If touch screen computers are brought into use, or just about any touch screen device, students wouldn't even need to use pencils, which are made from the wood of trees. Instead they would use stylist.
This may not related fully to the question provided, but it may give an idea.
-AC
who knows why we have white blood cells?
Answers
Answer:
White blood cells are part of the body's immune system. They help the body fight infection and other diseases.
Place the labels to describe the role of the lungs and blood in transporting oxygen and carbon dioxide in the body.
Blood cells transport
carbon dioxide to
the lungs.
Oxygen from the
lungs enters the
alveoli in the lungs.
Red blood cells supply
oxygen to the cells of
different organs in
the body.
Oxygen enters
the red blood cells
in the capillaries.
Red blood cells
collect the waste
carbon dioxide.
Answers
top right is blood cells transport carbon dioxide to lungs.
top left box is oxygen from the lungs enters the alveoli in the lungs
the box under top left is oxygen enters the red blood cells in the capillaries
bottom left box is red blood cells supply oxygen to cells of different organs.
Sorry if thats confusing
Your bone marrow is part of your immune system.
True
False
Answers
Answer:
TRUE
Explanation:
The main parts of the immune system are: white blood cells, antibodies, the complement system, the lymphatic system, the spleen, the thymus, and the bone marrow.
Answer:
true
Explanation:
Bone marrow is thought to be a primary hematopoietic organ. However, accumulated evidences demonstrate that active function and trafficking of immune cells
Which sentence from the excerpt from George Bernard Shaw’s Pygmalion suggests that Henry Higgins has already formed a negative opinion of Eliza Doolittle?
HIGGINS: Very well, then, what on earth is all this fuss about? The girl doesn't belong to anybody—is no use to anybody but me. (He goes to Mrs. Pearce and begins coaxing). You can adopt her, Mrs. Pearce: I'm sure a daughter would be a great amusement to you. Now don't make any more fuss. Take her downstairs; and—
MRS. PEARCE: But what's to become of her? Is she to be paid anything? Do be sensible, sir.
HIGGINS: Oh, pay her whatever is necessary: put it down in the housekeeping book. (Impatiently) What on earth will she want with money? She'll have her food and her clothes. She'll only drink if you give her money.
LIZA (turning on him): Oh you are a brute. It's a lie: nobody ever saw the sign of liquor on me. (She goes back to her chair and plants herself there defiantly).
PICKERING (in good-humored remonstrance): Does it occur to you, Higgins, that the girl has some feelings?
HIGGINS (looking critically at her): Oh no, I don't think so. Not any feelings that we need bother about. (Cheerily) Have you, Eliza?
LIZA: I got my feelings same as anyone else.
Answers
Answer:
LIZA (turning on him): Oh you are a brute. It's a lie: nobody ever saw the sign of liquor on me. (She goes back to her chair and plants herself there defiantly).
Explanation:
Question 13 (1 point)
To stop severe bleeding, you should first cover the wound in gauze and then position the wound higher than the heart to slow blood loss.
True
False
Question 14 (1 point)
Most people who are stung by insects can be treated at home, but people who experience anaphylaxis require immediate emergency care.
True
False
Question 15 (1 point)
After moving electrical wires and checking that a person with electrical shock is safe, you then call 911.
True
False
Question 16 (1 point)
Automated external defibrillators and Hands-Only CPR should be used only by people with training to restore breathing and heartbeat.
True
False
Answers
Answer: False, and then the rest after that are true
Answer:
Question 13 Answer: True
Question 14 Answer: True
Question 15 Answer: False
Question 16 Answer: True
List the THREE additional fitness goals you set at the beginning of the course. Under each goal, write a paragraph about how well you succeeded in working on and completing each goal. (2 points each)
HURRYYYYY !!
58 POINTS!!!
Answers
Answer:
The 3 fitness goals you can set up is run laps in the morning, do 15 push-ups, and jump-rope for 1 minute.
Explanation:
jump-rope and running laps can really help you with your cardiorespiratory endurance, while doing 15 push-ups a day can help you with your muscular strength and endurance. these 3 work-outs can really help you get fit very quickly.