Let X and Y be normal random variables with means 0 and 1,

Chapter , Problem 11

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QUESTION:

Let X and Y be normal random variables with means 0 and 1, respectively, and variances 1 and 4, respectively. (a) Find P(X 1.5) and P(X -1). (b) Find the PDF of (Y - 1)/2. (c) Find P(-1 :$ Y :$ 1).

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QUESTION:

Let X and Y be normal random variables with means 0 and 1, respectively, and variances 1 and 4, respectively. (a) Find P(X 1.5) and P(X -1). (b) Find the PDF of (Y - 1)/2. (c) Find P(-1 :$ Y :$ 1).

ANSWER:

Step 1 of 4

Given:

X and Y are normal random variables.

The mean value of X is .

The mean value of Y is .

The variance of X is .

The variance of Y is . 

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