Solution Found!
Let X denote the height in centimeters and Y the weight in
Chapter 4, Problem 5E(choose chapter or problem)
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: