Question

Let X be a random variable with density function f(x) = 1/4 for -3 <= x...

Let X be a random variable with density function f(x) = 1/4 for -3 <= x <= 5, and 0 otherwise. Find the density of Y = X^2 and of Y = (X - 1)^2, of Y = |X-1|, and of Y=(X-1)^4.

Homework Answers

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
Let X be a random variable with density function f(x) = 2 5 x for x...
Let X be a random variable with density function f(x) = 2 5 x for x ∈ [2, 3] and f(x) = 0, otherwise. (a) (6 pts) Compute E[(X − 2)3 ] without attempting to find the density function of Y = (X − 2)3 . (b) (6 pts) Find the density function of Y = (X − 2)3
Let X be a random variable with probability density function f(x) = {3/10x(3-x) if 0<=x<=2 .........{0...
Let X be a random variable with probability density function f(x) = {3/10x(3-x) if 0<=x<=2 .........{0 otherwise a) Find the standard deviation of X to four decimal places. b) Find the mean of X to four decimal places. c) Let y=x2 find the probability density function fy of Y.
Let X be a random variable with the probability density function fx(x) given by: fx(x)= 1/4(2-x),...
Let X be a random variable with the probability density function fx(x) given by: fx(x)= 1/4(2-x), 0<x<2 1/4(x-2), 2<=x<4 0, otherwise. Let Y=|X-3|. Compute the probability density function of Y.
A continuous random variable X has the following probability density function F(x) = cx^3, 0<x<2 and...
A continuous random variable X has the following probability density function F(x) = cx^3, 0<x<2 and 0 otherwise (a) Find the value c such that f(x) is indeed a density function. (b) Write out the cumulative distribution function of X. (c) P(1 < X < 3) =? (d) Write out the mean and variance of X. (e) Let Y be another continuous random variable such that  when 0 < X < 2, and 0 otherwise. Calculate the mean of Y.
Let the probability density function of the random variable X be f(x) = { e ^2x...
Let the probability density function of the random variable X be f(x) = { e ^2x if x ≤ 0 ;1 /x ^2 if x ≥ 2 ; 0 otherwise} Find the cumulative distribution function (cdf) of X.
Let X be the random variable with probability density function f(x) = 0.5x for 0 ≤...
Let X be the random variable with probability density function f(x) = 0.5x for 0 ≤ x  ≤ 2 and zero otherwise. Find the mean and standard deviation of the random variable X.
The density function of random variable X is given by f(x) = 1/4 , if 0...
The density function of random variable X is given by f(x) = 1/4 , if 0 Find P(x>2) Find the expected value of X, E(X). Find variance of X, Var(X). Let F(X) be cumulative distribution function of X. Find F(3/2)
Part A The variable X(random variable) has a density function of the following f(x) = {5e-5x...
Part A The variable X(random variable) has a density function of the following f(x) = {5e-5x if 0<= x < infinity and 0 otherwise} Calculate E(ex) Part B Let X be a continuous random variable with probability density function f (x) = {6/x2 if 2<x<3 and 0 otherwise } Find E (ln (X)). .
2. Let the probability density function (pdf) of random variable X be given by:                           ...
2. Let the probability density function (pdf) of random variable X be given by:                            f(x) = C (2x - x²),                         for 0< x < 2,                         f(x) = 0,                                       otherwise      Find the value of C.                                                                           (5points) Find cumulative probability function F(x)                                       (5points) Find P (0 < X < 1), P (1< X < 2), P (2 < X <3)                                (3points) Find the mean, : , and variance, F².                                                   (6points)
Let X be a random variable with probability density function f(x) = { λe^(−λx) 0 ≤...
Let X be a random variable with probability density function f(x) = { λe^(−λx) 0 ≤ x < ∞ 0 otherwise } for some λ > 0. a. Compute the cumulative distribution function F(x), where F(x) = Prob(X < x) viewed as a function of x. b. The α-percentile of a random variable is the number mα such that F(mα) = α, where α ∈ (0, 1). Compute the α-percentile of the random variable X. The value of mα will...