Let X denote the height in centimeters and Y the weight in

Chapter 4, Problem 5E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Let X denote the height in centimeters and Y the weight in kilograms of male college students. Assume that X and Y have a bivariate normal distribution with parameters \(\mu_X = 185, \sigma^2_X = 100, \mu_Y = 84, \sigma^2 _Y = 64\), and \(\rho = 3/5\).

(a) Determine the conditional distribution of Y, given that X = 190.

(b) Find P(86.4 < Y < 95.36 | X = 190).

Questions & Answers

QUESTION:

Let X denote the height in centimeters and Y the weight in kilograms of male college students. Assume that X and Y have a bivariate normal distribution with parameters \(\mu_X = 185, \sigma^2_X = 100, \mu_Y = 84, \sigma^2 _Y = 64\), and \(\rho = 3/5\).

(a) Determine the conditional distribution of Y, given that X = 190.

(b) Find P(86.4 < Y < 95.36 | X = 190).

ANSWER:

Step 1 of 3

Given:

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back