Question: The random variables X and Y are distributed according to the joint PDF f X , Y ( x , y )={ ax^ 2 if1

The random variables X and Y are distributed according to the joint PDF

f X,Y (x,y)={ax^2 if1x2and0yx,

0 otherwise

  1. Find the constant a

  1. Determine the marginal PDF fY(y)

a. If 0y1

b. if 1<y2

  1. Determine the conditional expectation of 1/((X^2)*Y), given that Y=5/4

I do not need the answer but hints. I already answered question 1.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
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 Mathematics Questions!

Q:

Random variables X and Y are distributed according to the joint PDF S ax, if 1

Q:

Suppose that random variables X and Y vary in accordance with the joint pdf, f X,Y (x, y)=c(x + y), 0

Q:

1. Let 1 and 2 be two symmetric, positive definite matrices. Let A be a diagonal matrix containing the eigenvalues of 2. Let A contain the corresponding eigenvectors of 2 as its rows in the same...

Q:

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...

Q:

This is a question from Introduction to Mathematical Statistics 3.1 1.20. Suppose the random variables X and Y are jointly distributed according to the Pdf f x y (x, y = xy 2 , 0 2Y). (c) P( Y > 1 X...

Q:

Suppose the random variables X and Y are jointly distributed according to the Pdf fX,Y(x, y) = 6/7 (x2 + xy/2), 0 x 1, 0 y 2 Find (a) fX(x). (b) P(X > 2Y). (c) P(Y > 1|X > 1/2).

Q:

Q1. Suppose that the random variables X and Y have a joint probability density function (pdf) given by f (x, y) = 3x, for OSy 0.5, Y > 0.6). [3 marks] c) Given that E(X) =3/4, E(Y) =3/8, and Var(Y)...

Q:

Q1. Suppose that the random variables X and Y have a joint probability density function (pdf) given by f (x, y) = 3x, for OSy 0.5, Y > 0.6). [3 marks] c) Given that E(X) =3/4, E(Y) =3/8, and Var(Y)...

Q:

Ans with full steps please Q1. (18 marks) The random variables X and Y have the joint probability density function (p.d.f.): I f (x, y) = cetty, 0

Q:

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...

Q:

Chateau Beaune is a family-owned winery located in the Burgundy region of France, which is headed by Gerard Despinoy. The harvesting season in early fall is the busiest part of the year for the...

Q:

What is the object of an experiment distillation of petroleum products at atmospheric pressure?

Q:

Jason believes that a company is going to earn record profits this year, so he wants to buy a few hundred shares of its stock. He would purchase this stock in the _ _ _ _ _ _ _ market. Question...

Q:

A company is preparing completing their Cash Budget. The following data has been prepared for cash receipts and payments. January February March Cash receipts $1,061,200 $1,182,400 $1,091,700 Cash...