Given independent random variables with means and standard deviations as shown,     Mean SD X 55 30 Y 65 25   find the mean and standard deviation of 1. X + 25 2. 6.25 X 3. X + Y 4. 2 X - 5 Y 5. 3 X1 + 2 X2 + X3

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Given independent random variables with means and standard deviations as shown,

 

 

Mean

SD

X

55

30

Y

65

25

 

find the mean and standard deviation of

1. X + 25
2. 6.25 X
3. X + Y
4. 2 X - 5 Y
5. 3 X1 + 2 X2 + X3 

 

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