C.14. If X ~ N(10, 3) and Y ~ N(15, 8), and if X and Y are independent, what is the probability distribution of a. X+Y b. X-Y c. 3X d. 4X + 5Y

Answers

Answer 1

a. Probability distribution of X + Y: N(25, 11)

b. Probability distribution of X - Y: N(-5, 11)

c. Probability distribution of 3X: N(30, 27)

d. Probability distribution of 4X + 5Y: N(95, 136)

a. The probability distribution of X + Y can be obtained by adding the means and variances of X and Y.

The sum of two independent normal random variables follows a normal distribution. In this case, X follows a normal distribution with a mean of 10 and a variance of 3, and Y follows a normal distribution with a mean of 15 and a variance of 8. Since X and Y are independent, the mean of X + Y is the sum of their individual means (10 + 15 = 25), and the variance of X + Y is the sum of their individual variances (3 + 8 = 11). Therefore, the probability distribution of X + Y is N(25, 11).

b. The probability distribution of X - Y can be obtained by subtracting the means and variances of X and Y.

Similarly to the previous case, the difference of two independent normal random variables follows a normal distribution. The mean of X - Y is the difference of their individual means (10 - 15 = -5), and the variance of X - Y is the sum of their individual variances (3 + 8 = 11). Therefore, the probability distribution of X - Y is N(-5, 11).

c. The probability distribution of 3X can be obtained by multiplying the mean and variance of X by 3.

When a constant is multiplied by a normal random variable, the mean is multiplied by the constant and the variance is multiplied by the square of the constant. Therefore, for 3X, the mean becomes 3 times the mean of X (3 * 10 = 30) and the variance becomes 3 squared times the variance of X (3^2 * 3 = 27). Hence, the probability distribution of 3X is N(30, 27).

d. The probability distribution of 4X + 5Y can be obtained by combining the means and variances of 4X and 5Y.

Similar to the previous cases, when two independent normal random variables are multiplied by constants and summed, the resulting distribution is also normal. The mean of 4X + 5Y is the sum of the individual means multiplied by their respective constants (4 * 10 + 5 * 15 = 95), and the variance of 4X + 5Y is the sum of the individual variances multiplied by the squares of their respective constants (4^2 * 3 + 5^2 * 8 = 136). Therefore, the probability distribution of 4X + 5Y is N(95, 136).

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Related Questions

One disadvantage of advertising is that it Question 19 options: A) provides entertainment. B) encourages impulse buying. C) stimulates competition. D) saves time.

Answers

Answer:

encourages impulse buying

Answer:

b Encourages impulse buying

Explanation:

advertisements are to catch the peoples eyes and make the consumer think they really need that item

How do increased prices serve as an incentive for businesses?

Answers

Answer:

see below

Explanation:

Price is the amount of money that a customer pays to acquire goods or consume services from a seller. The price has two significant elements:

the cost of making the goods or servicesThe suppliers desired profit.

 As per the law of supplies, higher profits is an opportunity for high profits. High price increases the profitability of goods and services. A high price has a bigger margin, meaning higher profits if the goods or services are sold. If prices increase, suppliers will be willing to supply more goods in the market with the expectation to make more profits. A decline in price is a warning that the business may make losses.

How do the 4 factors change based upon the business for which they are needed?

Answers

Answer:

Economists divide the factors of production into four categories: land, labor, capital, and entrepreneurship.

With online bill pay, what is the difference between a one-time payment and a recurring payment?

Answers

Answer:

when you do a one time payment you only pay once. When you set up a reaccuring payment you will pay mulitpul times.

Explanation:

Maya is concerned about her credit problems and is worried
about the debt she's accumulated throughout college. Which
of the following strategies is the most advisable for Maya?
automatically apply for bankruptcy
immediately consolidate her loans
look for a reputable credit counselor

Answers

Answer:

C!

Explanation:

Debts are often referred to as money owed by individuals and they have no way to pay for it. The

best strategy that is the most advisable for Maya is to look for a reputable credit counselor

A credit counselor often tells an individual the right steps to take concerning any credit be it debt or any other things.

If you can't make a payment or meet the options given, it is better to discuss payment options, contact your lenders to explain your situation or a credit counselor.

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What needs to happen to the money supply to recession?

Answers

Answer:

In order for your money suppy to recession you need credit.

Explanation:

Your credit needs to be good.

which is not considered a bailment group of answer choices dry cleaners coat check self service car wash staying at a hotel/motel

Answers

Staying at a hotel/motel is not considered a bailment, unlike dry cleaners, coat check services, and self-service car washes, which all involve the transfer of personal property and assume responsibility for it.Option (4)

A bailment is a legal relationship in which one party (the bailor) transfers possession of personal property to another party (the bailee), who holds the property for a specific purpose or period of time and is responsible for returning it to the bailor or disposing of it according to the bailor's instructions.

Dry cleaners, coat check services, and self-service car washes are all examples of bailments because the customer entrusts their property to the business for a specific purpose or service, and the business assumes responsibility for the property while it is in their possession.

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Full Question: Which is not considered a bailmen?

 Dry cleaners Coat check Self service car wash Staying at a hotel/motel

larry’s company has decided to no longer lease office space and instead have all employees work from home. larry needs to make a as he figures out how the newly dispersed workforce can cost-effectively order office supplies.

Answers

Larry's company has decided to no longer lease office space and instead have all employees work from home. Larry needs to make a nonprogrammed decision as he figures out how the newly dispersed workforce can cost-effectively order office supplies.

As Larry's company moves towards remote work, it is important for him to consider how to effectively manage the ordering and delivery of office supplies. This requires a nonprogrammed decision-making process, as the company is facing a new situation that requires a unique solution.

To make this decision, Larry should begin by assessing the company's current and future needs for office supplies, including the type, quantity, and frequency of orders. He should also consider how to manage the delivery of supplies to employees' homes in a timely and cost-effective manner.

One option for Larry is to contract with a supplier who can manage the entire ordering and delivery process, ensuring that employees receive the necessary supplies on a regular basis. Another option is to set up an online ordering system that employees can access from their homes, with the supplies being delivered directly to them.

Complete question:

Larry's company has decided to no longer lease office space and instead have all employees work from home. Larry needs to make a __________ as he figures out how the newly dispersed workforce can cost-effectively order office supplies.

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A fixed input, X, and a variable input, Y, are used to produce good A. If the marginal physical product (MPP) of Y is constant, it follows that the a. marginal cost curve is upward sloping. b. total fixed cost curve is vertical. c. total variable cost curve is downward sloping. d. b and c e. none of the above

Answers

Answer:

umm........i think its A..............

Explanation:

Canners Company uses weighted-average costing. Beginning work in process inventory had $3,650 of material costs. During the period, $5,000 of materials and $9,250 in conversion costs were added. If there are 250 equivalent units of production for materials, the cost per equivalent unit for materials is ______.

Answers

Answer:

the cost per equivalent unit for materials is $34.60

Explanation:

The computation of the cost per equivalent unit for materials is shown below:

= (Beginning work in inventory + material added) ÷ material equivalent unit of production

= ($3,650 + $5,000) ÷ 250 units

= $34.60

Hence, the cost per equivalent unit for materials is $34.60

The same should be considered and relevant

the cost to retail percentage is found by dividing goods available for sale at blank by goods available for sale at blank . multiple choice question. cost; market value current selling price; cost retail; cost cost; current selling price

Answers

The cost-to-retail percentage is found by dividing goods available for sale at cost by goods available for sale at retail. The correct answer is retail; cost.

The Cost-to-Retail Percentage (CRP) is a simple method for calculating the price at which to sell goods in a retail store. The CRP determines the selling price of an item based on the cost of the item plus a mark-up (margin). It is also used to determine the level of markdowns required to reach a desired gross margin on inventory. In addition, CRP is used to calculate the shrinkage percentage (the percentage of inventory lost due to theft, damage, or error).Formula for cost-to-retail percentage: The cost-to-retail percentage is calculated by dividing cost by retail, then multiplying by 100%. (Cost ÷ Retail) × 100%

For instance, if the cost of an item is $50 and the retail price is $100, the CRP would be:

($50 ÷ $100) × 100% = 50%

Thus, the item should be sold for $100 and a 50% profit should be generated. The Goods Available for Sale is the total amount of inventory available for purchase by customers. Goods Available for Sale is calculated by adding the beginning inventory (the inventory remaining from the previous accounting period) to the net purchases (the cost of inventory purchased during the accounting period).Goods Available for Sale = Beginning Inventory + Net Purchases. The correct answer is retail; cost.

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1. Describe how an apoptosis-inducing signal can transduce through intrinsic and extrinsic pathways to activate the initiator caspases. (10 marks)

Answers

Answer:

Explanation:

Apoptosis is an important biological process that regulates cell death and is essential for development, tissue homeostasis, and immune defense. Apoptosis-inducing signals can be transduced through intrinsic and extrinsic pathways to activate the initiator caspases.

The intrinsic pathway is initiated by cellular stress, such as DNA damage, hypoxia, or oxidative stress. These stress signals can activate the tumor suppressor p53, which in turn induces the expression of pro-apoptotic proteins such as Bax, Bak, and Puma. These proteins induce the release of cytochrome c from the mitochondria, which binds to Apaf-1 to form the apoptosome complex. The apoptosome complex recruits and activates initiator caspase-9, which then cleaves and activates the effector caspases-3, 6, and 7. This results in the cleavage of various cellular substrates, leading to the characteristic morphological and biochemical changes seen in apoptosis.

The extrinsic pathway, on the other hand, is initiated by extracellular signals such as cytokines, death ligands, or immune receptors. These signals bind to their respective receptors on the cell surface, which then activate caspase-8 through the recruitment of adaptor proteins such as FADD. Caspase-8 can also directly cleave and activate the effector caspases, leading to apoptosis. In some cases, the extrinsic pathway can also activate the intrinsic pathway through the cleavage of the pro-apoptotic protein Bid, which then translocates to the mitochondria and induces cytochrome c release.

In summary, apoptosis-inducing signals can transduce through both intrinsic and extrinsic pathways to ultimately activate the initiator caspases. These pathways intersect at various points and can crosstalk, leading to a coordinated and regulated cell death process.

Stock Y has a beta of 1.45 and an expected return of 16.3 percent. Stock Z has a beta of .90 and an expected return of 12.6 percent. What would the risk-free rate have to be for the two stocks to be correctly priced relative to each other?

Answers

Answer:

risk free rate= 6.55%

Explanation:

expected return= risk-free rate +Beta*(Market rate- risk-free rate )

Stock Y

16.3=Rf+1.45(Rm-Rf)

16.3=1.45Rm-0.45Rf

Rm=(16.3+0.45Rf)/1.45

Stock Z

12.6=Rf+0.9*(Rm-Rf)

12.6=0.9Rm+0.1Rf

12.6=0.9(16.3+0.45Rf)/1.45+0.1Rf

risk free rate=(12.6-10.11724138)/(0.279310344+0.1)

risk free rate= 6.55%

Martine's son is five years old. He loves to swim, but every year he needs a new swimsuit because he is growing so fast. Martine doesn't have a lot of extra income to spend on bathing suits. What financial advice would you give to Martine about making this purchase?

Answers

Answer:

Buy the next year’s swimsuit at the end of the summer each year.

Explanation:

The swimsuit should be purchased at the closing of the summer of each year as it represent the perfect timing to purchase the swimwear. As at this time mostly all retailers conduct a clearance sales of the swimsuit so there is a chances to get the swim suit at very less price.

Therefore the above represent the answer

are some of the factors that influence employee benefits strategies cyclical

Answers

Answer:

hoobaa hooba hooba

Explanation:

hooo

What is one reason that could explain why some unethical behavior goes
unreported?

Answers

Answer:

Well some people may be threatened by the person who is engaging in unethical behavior or some are just timid and keep to themselves, and just tolerate the unethical behavior, in order to not create conflict or not make enemies within the workplace. But either way we should always report unethical behaviors if we witness it, because if you do not take action it can create an atmosphere where misconduct spreads like wildfire.

You are told that if you invest $11,000 per year for 23 years( all payments made at the end of each year) you will have accumulated $366,000 at the end of the period What annual rate of return is the investment offering.

Answers

Answer:

3.2%

Explanation:

this is an ordinary annuity:

future value of an ordinary annuity = annual payment x future value annuity factor

$366,000 = $11,000 x future value annuity factor

future value annuity factor = $366,000 / $11,000 = 33.2727

you can solve this in two ways:

the first is with a lot of math work in order to solve the following equation

33.2727 = [(1 + i)²³ - 1] / i

or

you can use an annuity calculator (available online) which will yield 3.2%

Which type of power steering system uses a belt to transfer mechanical
energy from the engine to the power steering pump?
A) HPAS
B) EPAS
C) Both A and B
D) Neither A nor B

Answers

The  type of power steering system that uses a belt to transfer mechanical energy from the engine to the power steering pump is the A) HPAS.

What is Hydraulic Power Steering?

Hydraulic Power Steering can be described as the engine-driven accessory drive  which is been turned on by the activities of the engine and help to turns on the pump .

It should be noted that there is directs high-pressure power steering fluid  with the control valve, however among the given options, the Hydraulic Power Steering do utilize the effect of the mechanical energy from the engine and the output of it.

Therefore, option A is correct.

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HPAS power steering system uses a belt to transfer mechanical energy from the engine to the power steering pump. Thus, option A is correct.

What is power steering?

Power steering shows the change in vehicle power. It is concerned with the vehicles that are present at the front. This helps in easily changing the direction of the vehicle.

The hydraulic power steering system minimizes the work needed to spin an automobile wheel by adding a particular degree of force toward the impact load. This helps in easy control and navigation of the vehicle.

Therefore, option A is the correct option.

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You own an office supply store. You purchase desk
lamps at a wholesale cost of $14 each. You use a
markup of 45 percent to determine the selling (retail) price. At the end of the season, you offer a discount
price using a markdown of 20 percent of the selling
price. The discount price for desk lamps is

Answers

Answer:

$16.24

Explanation:

Which of the following is an indirect competitor for a company that makes chocolate chip cookies? A. Another company that makes chocolate chip cookies B. A company that makes potato chips C. A company that makes baking pans D. A company that makes brownies

Answers

Answer:

The indirect competitor for a company that makes chocolate chip cookies is;

D. A company that makes brownies

Explanation:

Where two companies or vendors produces or supplies entirely different products that however  work to satisfy the same customer need then the two companies or vendors are in indirect competition

In the question, we have;

The product of the company = Chocolate chip cookies

Therefore, an indirect competitor of the company will be make a maker of a different product of the same utility as the chocolate chip cookies, which gives;

The indirect company = A company that makes brownies

This is so because, a brownie, which is also known as a chocolate brownie, consists of a rectangular or square shaped baked chocolate that can include a variety of ingredients, including chocolate chips, cheese and nuts.

Answer:

D A company that makes brownies

Explanation:

im smart :) like this now

The balance on a credit card, that charges a 20%
APR interest rate, over a 1 month period is given in
the following table:
Days 1-5: $200 (initial balance)
Days 6-20: $350 ($150 purchase)
Days 21-30: $150 ($200 payment)
What is the finance charge, on the average daily
balance, for this card over this 1 month period?
finance charge = $ [?]
Round to the nearest hundredth.
Enter

Answers

The balance on a credit card, that charges a 20% APR interest rate, the Finance charge is given as

$4.3055

This is further explained below.

What is the APR interest rate?

Generally, The interest rate that is applied to a loan, mortgage loan, credit card, etc. is referred to as an annual percentage rate of charge, which sometimes corresponds to a nominal APR and sometimes corresponds to an effective APR.

The annual percentage rate of charge is the interest rate for the entire year, as opposed to just a monthly fee or rate. It is a fee for financing that is presented in the form of an annual rate.

Interest rate APR = 12%

Average balance = ((200*5)+(350*15)+(150*10))/30

Average balance = $258.33

Average balance*APR/12

Finance charge =\(\frac{258.33*20 \%}{12 }\)

Finance charge = $4.3055

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advise businesses on the difference between the public sector and private sector

Answers

In the public sector organizations are owned and controlled by the government. Meanwhile organizations within the private sector are owned and managed by individuals or private companies.

at the beginning of a marketing plan is the executive summary. what similar activity should be done in order to create an effective business presentation?

Answers

Beginning the presentation with recommendations and support them with examples is a similar activity that should be done in order to create an effective business presentation.

What is a business presentation?

A business presentation refers to a form presentations which aims to sell an idea,  product or a project to the audience.

In conclusion, if the presentation are done recommendations and support, such presentation will be an effective one,

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what is multi mirror function in shopping malls and shop​

Answers

Big shoppin stores are inside a large complex and it is not possible to have so many employees to look over each and every counter in the complex individually . So owners have to find something by which they could look over a large place at once and in this way the mampower required would also be less. So, to attain this need ,they use convex mirrors to watch the activities of the customers . Convex mirror is used as it has a large field of view , hence it allow the shopkeeper to track all the activities inside the store at once and for all.

please make me brainlist

When the body senses warmer temperatures, what happens to the blood vessels?

Answers

Answer:

When we get too hot, sweat glands in the skin release more sweat. The sweat evaporates, transferring heat energy from the skin to the environment. 

Answer:

Part1:

B.) They become smaller.

Part 2:

A.) they become larger

Explanation:

edge 2021

Guarantees are most effective in two situations. the first is when the company or products are not well known. the second is when the product's quality is ________ competition.

Answers

Guarantees are most effective in two situations. the first is when the company or products are not well known. the second is when the product's quality is superior to competition.

Guarantee is a legal term is a comprehensive and of higher value than a warranty or security. It's a document designed to protect consumers. It is a promise by a seller to a buyer that the he will take product responsibility & will replace and/or repair defective parts of the purchased item over the period of time contained in the contract. It is a legal understanding and is typically offered for free of charge. With a guarantee the consumer can get his product repaired or refunded for the parts that are replaceable and defective.

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WHATS AN APPLE PLZ TELL ME OR I WILL STEAL YOUR TOES

Answers

Answer: an apple is a fruit that grows from trees

Explanation:

Answer:

An apple is a fuit that is very popular. They have a variety of kinds with different colors. Many people enjoy apple slices with peanut butter. Although some people cut apples into slices others just take a bite out of it.

In the center they have a core which holds the seeds. That part is not fun to eat so just throw it away.

If Country B can produce beans at a lower opportunity cost than Country A, then Country B has a(n) _____________ over Country A in the production of beans.
a) great natural and human resources.
b) large stock of capital.
c) absolute advantage.
d) comparative advantage.

Answers

C I took the quiz already

Answer:

Comparative Advantage

Explanation:

I took the quiz and it was correct. :)

Identify an accurate statement about groups of customers with similar need sets. Multiple choice question. They always have identical demographics. They belong to a single, homogeneous demographic group. They can have sharply different demographics. They never have varied demographic features.

Answers

When there is a group of customers that have the same requirement sets so the following should be the accurate statement.

The statement "It could have clear various demographics" is correct.

The following information related to the customer is:

It is an individual or the business that buys the goods or services of the company. Without customers, the company could not survive out, neither company could able to make a profit. Now if there are various customers and all have the same kind of needs so it means that there are different demographics.

Therefore all other options should not be considered.

Thus we can conclude that The statement "It could have clear various demographics" is correct.

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What could be the most likely result of Andrew offering credit facility to his customers?
A.
higher business losses
B.
lesser number of customers
C.
sell his goods below the market rates
D.
more competition
E.
customer loyalty

Answers

A I’m guessing because he could lose a lot of things while offering that type of offer

Answer:

its E

Explanation:

got it right

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Use Symmetry to Analyze a FunctionOn a coordinate plane, a function has four connecting lines. The first line goes from (0, 0) to (2,2), the second line goes from (2, 2) to (3, 1), the third line goes from (3, 1) to (5, 3), and the fourth line is horizontal to the x-axis at 3.This graph shows a portion of an even function. Use the graph to complete the table of values.x f(x)1 3 5 6 what's the correct spelling of the nationality for the country listed below: guinea ecuatorial a manager is giving feedback to an employee who hopes to move into a supervisory role someday. which statement represents the most effective kind of feedback? consider two concentric spheres with diameters 12cm and 18cm forming an enclosure. The view factor, from the inner surface of the outer sphere to its own , isA49B1C59D0 A coke can that has been shaken and then opened The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between 30,000 and 60,000 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was $17,545 . Assume that the standard deviation is $2,160. Use z-table.a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $210 of the population mean for each of the following sample sizes: 30, 50, 100 and 400? Round your answers to four decimals.n= 30n= 50n= 100n= 400b. What is the advantage of a larger sample size when attempting to estimate the population mean? Round your answers to four decimals.The probability that the sample mean will be within a specified distance of the population mean. In the automobile insurance example, the probability of being within +-210 of U ranges from BLANK for a sample of size 30 to BLANK for a sample of size 400 .Expert Answer0.4056 0.5082 0.6690 0.9482 A large sample the probabiliView the full answer A particle moves according to a law of motions = f(t)t 0,where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.)f(t) = t3 7t2 + 20tFind the velocity at time t. Repress the journals a little; make them produce wholesome articles. . . . Tell them that the . . . Revolution is over, and that there is now only one party in France; that I shall never allow the newspapers to say anything contrary to my interests; that they may publish a few little articles with just a bit of poison in them, but that one fine day somebody will shut their mouths. Read an excerpt of Napoleons letter concerning freedom of the press. How do Napoleons views in this letter reflect Enlightenment thinking? Napoleon is in line with Enlightenment thinking because he only supports a little repression of the press. Napoleons call for repression of the press was in opposition to Enlightenment thinking. Napoleon is in line with Enlightenment thinking because he is merely asking for wholesome articles. Napoleon mentioning the end of revolution and political parties puts him in opposition to Enlightenment thinking. Add.(3+x+3x) + (2x - 2 - 4x)Express the answer in standard form.Enter your answer in the box true or false? organisms that exhibit alternation of generations reproduce sexually in the diploid stage. Why did the British seek to take over the Dutch colony of New Amsterdam?A. It was a boon to the British for assistance in a battle against American Indians.B. The British and Dutch were engaged in a long-standing war over territory.C. British colonists moved to New Amsterdam after the failure of settling Roanoke.D. The colony's location at the mouth of the Hudson River was a valuable trade port. An object starts from rest and has an acceleration of 2.0 ms2. What is the speed (v = at) of the object after 7.00 seconds with the correct number of significant digits? . in-place sheltering is never an appropriate option in an accident involving hazardous materials. a. true b. false which does the termination of translation require? stop codon on the mrna release factors e site of the ribosomal complex gtp terminator trna Choose the words to complete the statement.This shape is a Choose... and a Choose... . A farmer grows several crops on a farm that has mostly shallow, sandy soil. Which of the following irrigation methods would be the best suited for this farm?ADrip irrigationBFlood irrigationCSurface irrigationDFurrow irrigation eliza and jamie are making cupcakes for a bake sale at school. eliza need 2 1 3 c of flour for her recipe, and jamie needs 1 3 4 c for her recipe. they have 4 c of flour. do they have enough flour for both recipes? explain. 5. If you have more of one thing you must have less of another applies to the principle ofopportunity.a. trueb. false Peter has 25 chickens. His uncle has 60 times as many. How many chickens does his uncle have? * for decades, __________ sources supplied the heroin that was smuggled into the u.s. through the french port of marseilles. quizelt