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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 2 - Problem 18se
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 2 - Problem 18se

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# Let X and Y be random variables with ?X = 1, ?X = 2, ?Y = ISBN: 9780073401331 38

## Solution for problem 18SE Chapter 2

Statistics for Engineers and Scientists | 4th Edition

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Problem 18SE

Problem 18SE

Let X and Y be random variables with μX = 1, σX = 2, μY = 3, σY = 1, and ρX,Y = 0.5. Find the means and variances of the following quantities.

a. X + Y

b. X - Y

c. 3X + 2Y

d. 5Y - 2X

Step-by-Step Solution:

Step 1 of 1 :

Given,

let X and Y be independent random variables with = 1, =2, = 3, = 1 and = 0.5

cov(X,Y) = ( ) (  )

=  (0.5) (2)(1)

= 1

The claim is to find the mean and variances for the following quantities

1. X + Y

1. X - Y

1. 3X + 2Y

1. 5Y - 2X

Step 2 of 5

Step 3 of 5

##### ISBN: 9780073401331

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