Question

pdf of X is: ƒχ(x) = e⁻x, x>0, 0, otherwise Y = (X - 1)² find...

pdf of X is: ƒχ(x) = e⁻x, x>0, 0, otherwise
Y = (X - 1)²
find pdf of Y

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

Homework Answers

Answer #1

In this question we need to derive the pdf of Y from X , so we will put X in terms of Y and then proceed further as explained in the images below

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 random variable X has the PDF fX(x) = { 1/4 -3<=x<=1 { 0 otherwise If...
The random variable X has the PDF fX(x) = { 1/4 -3<=x<=1 { 0 otherwise If Y = (X - 2)^2 Find E|Y| Var|Y|
RVs Х and Y are continuous, joint PDF fx,y(x,y) = cxy, if 0 ≤ x ≤...
RVs Х and Y are continuous, joint PDF fx,y(x,y) = cxy, if 0 ≤ x ≤ y ≤ 1 , and fx,y(x,y) = 0, otherwise, c is a constant. Find a) fx|y(x|y = 0.5) for x ∈ [0, 0.5], b) E(X | y = 0.5).
Consider two random variables, X and Y, with joint PDF fxy(x,y)=e-2|y-x^2|-x    x>=0 , y can...
Consider two random variables, X and Y, with joint PDF fxy(x,y)=e-2|y-x^2|-x    x>=0 , y can be any value fxy(x,y)=0 otherwise (1) Determine fY|X(y|x) (2)Determine E[Y|X=x]
Suppose X and Y are continuous random variables with joint pdf f(x,y) = 2(x+y) if 0...
Suppose X and Y are continuous random variables with joint pdf f(x,y) = 2(x+y) if 0 < x < < y < 1 and 0 otherwise. Find the marginal pdf of T if S=X and T = XY. Use the joint pdf of S = X and T = XY.
Random Variables X and Y have joint PDF fX,Y(x,y) =    c*(x+y)   ,    0<x , x>y                     0&
Random Variables X and Y have joint PDF fX,Y(x,y) =    c*(x+y)   ,    0<x , x>y                     0             ,     otherwise a. Find the value of the constant c. b. Find P[x < 1 and  y < 2]
Let f(x) = e^-2(2^x)/x! for x= 1,2,3,... and 0 otherwise. Show that f(x) is a pdf....
Let f(x) = e^-2(2^x)/x! for x= 1,2,3,... and 0 otherwise. Show that f(x) is a pdf. Find the expected value of f(x).
The random variables X and Y have the joint PDF FX,Y(x,y) = { 6*e^-(3x + 2y)...
The random variables X and Y have the joint PDF FX,Y(x,y) = { 6*e^-(3x + 2y) 0 <= x, y { 0 otherwise (a) Show whether X and Y are independent or not. (b) Find the PDF of fX,Y |B(x,y) where B represents the event X + Y < 3 (c) Find fY | B(x) where B represents the event X + Y < 3
The pdf of X is f(x) = 2xe−x2, 0 < x < ∞ and zero otherwise....
The pdf of X is f(x) = 2xe−x2, 0 < x < ∞ and zero otherwise. Find the pdf of W = X2.
Let X and Y have joint pdf f(x,y)=k(x+y), for 0<=x<=1 and 0<=y<=1. a) Find k. b)...
Let X and Y have joint pdf f(x,y)=k(x+y), for 0<=x<=1 and 0<=y<=1. a) Find k. b) Find the joint cumulative density function of (X,Y) c) Find the marginal pdf of X and Y. d) Find Pr[Y<X2] and Pr[X+Y>0.5]
X and Y are jointly continuous with joint pdf f(x, y) = 2, x > 0,...
X and Y are jointly continuous with joint pdf f(x, y) = 2, x > 0, y > 0, x + y ≤ 1 and 0 otherwise. a) Find marginal pdf’s of X and of Y. b) Find covariance Cov(X,Y). c) Find correlation Corr(X,Y). What you can say about the relationship between X and Y?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT