Question

Let X have an exponential distribution with mean of 1. Consider the transformation Y = exp(-X),...

Let X have an exponential distribution with mean of 1. Consider the transformation Y = exp(-X), and determine the density function of Y.

a. y

b. 1

c 1/y

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

Homework Answers

Answer #1

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
Let X and Y be independent and identically distributed with an exponential distribution with parameter 1,...
Let X and Y be independent and identically distributed with an exponential distribution with parameter 1, Exp(1). (a) Find the p.d.f. of Z = Y/X. (b) Find the p.d.f. of Z = X − Y .
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.
(9) Let X and Y be iid Exp(1) RV’s. Define U = X / (X+Y) and...
(9) Let X and Y be iid Exp(1) RV’s. Define U = X / (X+Y) and V = X + Y . Show your Work. (a) Derive the joint density for (U, V ). (b) What is the marginal distribution for U? (c) Find the conditional mean E(X | V = 2). (d) Are U and V independent? Explain why
Let random variable X ∼ U(0, 1). Let Y = a + bX, where a and...
Let random variable X ∼ U(0, 1). Let Y = a + bX, where a and b are constants. (a) Find the distribution of Y . (b) Find the mean and variance of Y . (c) Find a and b so that Y ∼ U(−1, 1). (d) Explain how to find a function (transformation), r(), so that W = r(X) has an exponential distribution with pdf f(w) = e^ −w, w > 0.
Let X¯ be the sample mean of a random sample X1, . . . , Xn...
Let X¯ be the sample mean of a random sample X1, . . . , Xn from the exponential distribution, Exp(θ), with density function f(x) = (1/θ) exp{−x/θ}, x > 0. Show that X¯ is an unbiased point estimator of θ.
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).
Let X U (0, 1) and Y exp (1) be independent variables (v.a.’s) independent. What is...
Let X U (0, 1) and Y exp (1) be independent variables (v.a.’s) independent. What is the function probability density (f.d.p.) of the v.a. Z = X + Y?
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 be continuous uniform (0,1) and Y be exponential (1). Let O1 = min(X,Y) and...
Let X be continuous uniform (0,1) and Y be exponential (1). Let O1 = min(X,Y) and O2 = max(X,Y) be the order statistics of ,Y. Find the joint density of O1, O2.
Let X and Y be independent random variables, with X following uniform distribution in the interval...
Let X and Y be independent random variables, with X following uniform distribution in the interval (0, 1) and Y has an Exp (1) distribution. a) Determine the joint distribution of Z = X + Y and Y. b) Determine the marginal distribution of Z. c) Can we say that Z and Y are independent? Good
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT