Question

Let X ∼ UNIF(0, 1). Find the pdf of Y = −5 ln(X) using the transformation...

Let X ∼ UNIF(0, 1). Find the pdf of Y = −5 ln(X) using the transformation technique. Note that Y is an exponential random variable. What is its parameter? Show your work.

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 ∼ UNIF(0, 1). Find the pdf of Y = 1 − X using the...
Let X ∼ UNIF(0, 1). Find the pdf of Y = 1 − X using the distribution-function technique. Also indicate the support of Y.
Let X have a uniform distribution on (0, 1) and let y = -ln ( x...
Let X have a uniform distribution on (0, 1) and let y = -ln ( x ) a. Construct the CDF of Y graphically b. Find the CDF of Y using CDF method c. Find the PDF of Y using PDF method
Let ? be a random variable with a PDF ?(?)= 1/(x+1) for ? ∈ (0, ?...
Let ? be a random variable with a PDF ?(?)= 1/(x+1) for ? ∈ (0, ? − 1). Answer the following questions (a) Find the CDF (b) Show that a random variable ? = ln(? + 1) has uniform ?(0,1) distribution. Hint: calculate the CDF of ?
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.
For X1, ..., Xn iid Unif(0, 1): a) Show the conditional pdf X(i)|X(j) ∼ X(j)Beta(i, j...
For X1, ..., Xn iid Unif(0, 1): a) Show the conditional pdf X(i)|X(j) ∼ X(j)Beta(i, j − i) b Let n=5, find the joint pdf between X(2) and X(4).
Let X and Y have the pdf f(x, y) = 1, 0 < x < 1,...
Let X and Y have the pdf f(x, y) = 1, 0 < x < 1, 0 < y < 1, zero elsewhere. Find the cdf and pdf of the product Z = X+Y.
Let X ∼ Geo(?) with Θ = [0,1]. a) Show that pdf of the random variable...
Let X ∼ Geo(?) with Θ = [0,1]. a) Show that pdf of the random variable X is in the one-parameter regular exponential family of distributions. b) If X1, ... , Xn is a sample of iid Geo(?) random variables with Θ = (0, 1), determine a complete minimal sufficient statistic for ?.
Let X and Y be continuous random variable with joint pdf f(x,y) = y/144 if 0...
Let X and Y be continuous random variable with joint pdf f(x,y) = y/144 if 0 < 4x < y < 12 and 0 otherwise Find Cov (X,Y).
Let X and Y be random variables with the joint pdf fX,Y(x,y) = 6x, 0 ≤...
Let X and Y be random variables with the joint pdf fX,Y(x,y) = 6x, 0 ≤ y ≤ 1−x, 0 ≤ x ≤1. 1. Are X and Y independent? Explain with a picture. 2. Find the marginal pdf fX(x). 3. Find P( Y < 1/8 | X = 1/2 )
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]
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT