Let X and Y have a bivariate normal distribution with parameters X = 2.8, Y = 110, 2 X =

Chapter 4, Problem 4.5-3

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QUESTION:

Let X and Y have a bivariate normal distribution with parameters \(\mu_X = 2.8, \mu_Y = 110, \sigma^2_X = 0.16, \sigma^2_Y = 100\), and \(\rho = 0.6\). Compute

(a) P(106 < Y < 124).

(b) P(106 < Y < 124 | X = 3.2).

Questions & Answers

QUESTION:

Let X and Y have a bivariate normal distribution with parameters \(\mu_X = 2.8, \mu_Y = 110, \sigma^2_X = 0.16, \sigma^2_Y = 100\), and \(\rho = 0.6\). Compute

(a) P(106 < Y < 124).

(b) P(106 < Y < 124 | X = 3.2).

ANSWER:

Step 1 of 3

Given:

The variables X and Y have a bivariate normaldistribution.

The values are given as,

and.

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