Question

Let X be an Exponential random variable with mean 1. Find the density function for Y...

Let X be an Exponential random variable with mean 1. Find the density function for Y = {X}^0.5. Evaluate the density function (to 2 d.p.) of Y at the value 1.4.

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

Homework Answers

Answer #1

TOPIC:Transformation of random variables.

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
Problem 1 Let X be an exponential random variable with mean 4. Let Y = X2....
Problem 1 Let X be an exponential random variable with mean 4. Let Y = X2. (a) Find the mean of Y . (b) Find the variance of Y .
Let X denote a random variable with probability density function a. FInd the moment generating function...
Let X denote a random variable with probability density function a. FInd the moment generating function of X b If Y = 2^x, find the mean E(Y) c Show that moments E(X ^n) where n=1,4 is given by:
Let X be a continuous random variable with the following probability density function: f(x) = e^−(x−1)...
Let X be a continuous random variable with the following probability density function: f(x) = e^−(x−1) for x ≥ 1; 0 elsewhere (i) Find P(0.5 < X < 2). (ii) Find the value such that random variable X exceeds it 50% of the time. This value is called the median of the random variable X.
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.
STAT 180 Let X and Y be independent exponential random variables with mean equals to 4....
STAT 180 Let X and Y be independent exponential random variables with mean equals to 4. 1) What is the covariance between XY and X. 2) Let Z = max ( X, Y). Find the Probability Density Function (PDF) of Z. 3) Use the answer in part 2 to compute the E(Z).
1 (a) Let f(x) be the probability density function of a continuous random variable X defined...
1 (a) Let f(x) be the probability density function of a continuous random variable X defined by f(x) = b(1 - x2), -1 < x < 1, for some constant b. Determine the value of b. 1 (b) Find the distribution function F(x) of X . Enter the value of F(0.5) as the answer to this question.
Let Y = X2+X+1 (a) Evaluate the mean and variance of Y, if X is an...
Let Y = X2+X+1 (a) Evaluate the mean and variance of Y, if X is an exponential random variable. (b) Evaluate the mean and variance of Y, if X is a Gaussian random variable.
Let X be a continuous random variable with a probability density function fX (x) = 2xI...
Let X be a continuous random variable with a probability density function fX (x) = 2xI (0,1) (x) and let it be the function´ Y (x) = e^−x a. Find the expression for the probability density function fY (y). b. Find the domain of the probability density function fY (y).
Let t be a random value of a variable with exponential density e −t , t...
Let t be a random value of a variable with exponential density e −t , t > 0, and let Y be Poisson with parameter t. Find P(Y = 2). A. 1/4 B. 1/2 C. 1/8 D. 1/e
Let X be a random variable with density f X ( x ) = ( 1...
Let X be a random variable with density f X ( x ) = ( 1 / 2 ) cos ⁡ x for x ∈ [ − π / 2 , π / 2 ]. (a) Show that this is a valid density function. (b) What is the distribution function of Y = sin ⁡ X? (c) What is the density function of Y?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT