Question

if 2 random variables have a joint density f(y1, y2) = 6/5. * (y1 + y2^2)...

if 2 random variables have a joint density

f(y1, y2) = 6/5. * (y1 + y2^2)

What is an expression for f(y1|y2) for 0<y2<1 and then for f(y1| y2 =0.25)?

Find E(Y1| Y2 = 0.25)

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

** before providing your question you have not mentioned the range of y1 , which is necessary here for this i cannot calculate further conditional distribution and conditional expectation.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The joint probability density function for two continuous random variables is: f(y1,y2) = k(y1^2 + y2)...
The joint probability density function for two continuous random variables is: f(y1,y2) = k(y1^2 + y2) for 0 <= y2 <= 1-y1^2 Find the value of the constant k so that this makes f(y1,y2) a valid joint probability density function. Also compute (integration) P(Y2 >= Y1 + 1)
The joint density of Y1, Y2 is given by f(y) = k, −1 ≤ y1 ≤...
The joint density of Y1, Y2 is given by f(y) = k, −1 ≤ y1 ≤ 1, 0 ≤ y2 ≤ 1, y1 + y2 ≤ 1, y1 − y2 ≥ −1 0, otherwise a. Find the value of k that makes this a probability density function. b. Find the probabilities P(Y2 ≤ 1/2) and P(Y1 ≥ −1/2, Y2 ≤ 1/2). (Do you notice a relationship between them?)
f(y1,y2)=k(1−y2), 0≤y1≤y2≤1.joint probability density function: a) Find P(Y1≤0.35|Y2=0.3) b) Find E[Y1|Y2=y2]. c) Find E[Y1|Y2=0.3]
f(y1,y2)=k(1−y2), 0≤y1≤y2≤1.joint probability density function: a) Find P(Y1≤0.35|Y2=0.3) b) Find E[Y1|Y2=y2]. c) Find E[Y1|Y2=0.3]
) Suppose Y1 and Y2 are random variables of the discrete type which have the joint...
) Suppose Y1 and Y2 are random variables of the discrete type which have the joint pmf p(y1, y2) = (y1 + 2y2)/18,(y1, y2) = (1, 1),(1, 2),(2, 1),(2, 2), zero elsewhere. Compute E(3Y1 − 2Y2) and P(Y1 = 1|Y2 > 1) .
Let each of the independent random variables X1 and X2 have the density function f(x) -...
Let each of the independent random variables X1 and X2 have the density function f(x) - e^-x for 0<x< inf., and f(x) = 0, otherwise. What is the joint density of Y1 = X1 and Y2 = 2X1 + 3X2 and the domain on which this density is positive?
Let X1 and X2 be independent random variables with joint pdf f(x1, x2) =x1e^−(x1+x2), 0< x1<∞,...
Let X1 and X2 be independent random variables with joint pdf f(x1, x2) =x1e^−(x1+x2), 0< x1<∞, 0< x2<∞. Y1= 2X1 and Y2=X2−X1. I) Find g(y1, y2), the joint pdf of Y1, Y2 Include and draw the support. II) Find g1(y1), the marginal pdf of Y1. III) Find E(Y1).
7. Suppose that random variables X and Y have a joint density function given by: f(x,...
7. Suppose that random variables X and Y have a joint density function given by: f(x, y) = ? + ? 0 ≤ ?≤ 1, 0 ≤ ? ≤ 1 (a) Find the density functions of X and Y, f(x) and f(y). (b) Find E[X] and Var(Y).
1.suppose that Y1 and Y2 are independent random variables 2.suppose that Y1 and Y2each have a...
1.suppose that Y1 and Y2 are independent random variables 2.suppose that Y1 and Y2each have a mean of A and a variance of B 3.suppose X1 and X2 are related to Y1 and Y2 in the following way: X1=C/D x Y1 X2= CY1+CY2 4.suppose A, B, C, and D are constants What is the expected value of the expected value of X1 given X2{E [E (X1 | X2)]}? What is the expected value of the expected value of X2 given...
1.suppose that Y1 and Y2 are independent random variables 2.suppose that Y1 and Y2each have a...
1.suppose that Y1 and Y2 are independent random variables 2.suppose that Y1 and Y2each have a mean of A and a variance of B 3.suppose X1 and X2 are related to Y1 and Y2 in the following way: X1=C/D x Y1 X2= CY1+DY2 4.suppose A, B, C, and D are constants What is the expected value of X1? What is the expected value of X2? What is the variance of X1?
Suppose that the random variables  X  and Y  have the following joint probability density function. f ...
Suppose that the random variables  X  and Y  have the following joint probability density function. f (x, y)  =  ce−9x − 7y,    0  <  y  <  x. (a) Find the value of c. (b) Find P(X  <1/6   , Y  <  1)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT