Question: Two continuous random variables X and Y have a joint probability density function (PDF), f subscript X Y end subscript left parenthesis x comma y

Two continuous random variables X and Y have a joint probability density function (PDF), f subscript X Y end subscript left parenthesis x comma y right parenthesis equals 2 e to the power of negative x minus y end exponent comma space 0 less than x less than y less than infinity. The conditional PDF of Y given X=x, i.e., f subscript Y vertical line x end subscript left parenthesis y right parenthesis, is

A. fraction numerator 2 e to the power of negative x minus y end exponent over denominator integral subscript x superscript infinity 2 e to the power of negative x minus y end exponent d y end fraction equals e to the power of x minus y end exponent comma space y greater than 0

B. fraction numerator 2 e to the power of negative x minus y end exponent over denominator integral subscript 0 superscript infinity 2 e to the power of negative x minus y end exponent d y end fraction equals e to the power of negative y end exponent comma space y greater than 0

C. fraction numerator 2 e to the power of negative x minus y end exponent over denominator integral subscript 0 superscript infinity 2 e to the power of negative x minus y end exponent d y end fraction equals e to the power of negative y end exponent comma space y greater than x greater than 0

D. fraction numerator 2 e to the power of negative x minus y end exponent over denominator integral subscript x superscript infinity 2 e to the power of negative x minus y end exponent d y end fraction equals e to the power of x minus y end exponent comma space y greater than x greater than 0

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

is AN are Jinen the joint ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Accounting Questions!

The joint density function of X and Y is (a) Are X and Y independent? (b) Find the density function of X. (c) Find P{X + Y f(x,y)=Ix 0

The joint density function of X and Y is given by f (x, y) = xex(y+1)x > 0, y > 0 (a) Find the conditional density of X, given Y = y, and that of Y, given X = x. (b) Find the density function of Z =...

The joint density function of X and Y is given by f(x, y) = 1/ye(y+x/y),x > 0, y > 0 Find E[X], E[Y], and show that Cov(X, Y) = 1.

7. Let X1, X2, X3, X4 be a random sample of size 4 from a standard normal population. Find the sampling distribution (if possible) and moment generating function of the statistic 2X2 1 +3X2 2 +X2 3...

Question: Considering both the probability value and effect size measure, what interpretations would you make about the findings? That is, what are your conclusions about the effects of leaving happy...

Suppose that a decision maker s risk attitude toward monetary gains or losses x given by the utility function u left parenthesis x right parenthesis equals left parenthesis 1 0 0 0 0 plus x right...

Find the total area between the x-axis and the curve f left parenthesis x right parenthesis equals 5 over x minus 1 between x equals 1 and x equals 9. a.) open parentheses 10 ln 5 minus 5 ln 9 close...

Portray in words what transforms you would have to make to your execution to some degree (a) to accomplish this and remark on the benefits and detriments of this thought.You are approached to compose...

You helped me a couple of weeks ago. I was wondering if i could setup a time for tomorrow that you could be available to help me with some questions. I will pay $20 per question. They are short and I...

Please read chapter 4 the answer the question 10: It may seem puzzling that a negative externality may induce a strategic complementarity. But ments over the Nash equilibrium. It is not surprising...

A stock market index is S0 = 95 and the put premium for an option on the index with 1 year to expiry and a strike price of 100 costs 9.29. Short term interest rates with 1 year to maturity are 2%...

Bozo Inc. manufactures two products from a joint production process. The joint process costs $110,000 and yields 6,000 pounds of LTE compound and 20,000 pounds of HS compound. LTE can be sold at...

Explain how a bonus arrangement can be used to defer income tax paid by an employee. Refer to ITA 7 8 ( 4 ) .

The adjusted trial balance for Gilligan Corporation at the end of the current year contained the following accounts. Bond Interest Payable $ 9,000 Lease Liability 89,500 Bonds Payable, due 2015...

Jaime Baldwin owns and operates Love Transport Co. During the past year, Jaime incurred the following costs related to an 18-wheel truck: 1. Changed engine oil. 2. Installed a wind deflector on top...

Opportunity versus Trading Costs White Whale Corporation has an average daily cash balance of $900. Total cash needed for the year is #37,000. The interest rate is 5 percent, and replenishing the...

Effects of differing production levels on absorption costing income: University Press produces textbooks for college courses. The company recently hired a new editor, Leslie White, to handle...

Catherine Simpkins owns and operates Speedy Print Co. During February, Speedy Print Co. incurred the following costs in acquiring two printing presses. One printing press was new, and the other was...

2. The numbers 15, 16, 17, 18, 19 are written on slips of paper, and 2 slips are drawn at random one at a time without replacement. Find the probability of each of the following. a)Both numbers are...

Verify Property 2 of the definition of a probability density function over the given interval. f(x)=465x3, [2,3] Question content area bottom Part 1 What is Property 2 of the definition of a...

Answer the following business question all parts 1. There are 3 arrangements of the word DAD, namely DAD, ADD, and DDA. How many arrangements are there of the word PROBABILITY? 2. There are six men...

I NEED CORRECT WORKING ONLY 6. Two dice are rolled. A = 'sum of two dice equals 3' B = 'sum of two dice equals 7' C = 'at least one of the dice shows a 1' (a) What is P(A|C)? (b) What is P(B|C)? (c)...

Let the random variable X, have the following probability density function: f subscript X space left parenthesis x right parenthesis space equals space open curly brackets table attributes...

Can someone assist with any of these questions below: Question 1.The time required to play a certain game is uniformly distributed between 30 and 52 minutes. Complete parts a through c below. a. Find...

Let X space tilde thin space U left parenthesis 0 comma 20 right parenthesis and assume we take a sample of size 100 from this population distribution. What distribution would the sample mean (top...