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

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

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

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
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]
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.
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?