If X and Y are independent random variables with means X = 9.5 and Y = 6.8, and standard

Chapter 2, Problem 1

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If \(X \text { and } Y\) are independent random variables with means \(\mu_{x}=9.5 \text { and } \mu_{y}=6.8\), and standard deviations \(\sigma_{x}=0.4 \text { and } \sigma_{y}=0.1\), find the means and standard deviations of the following:

a. \(3 X\)

b. \(Y-X\)

c. \(X+4 Y\)

Equation Transcription:

Text Transcription:

X \text { and } Y

\mu_{x}=9.5 \text { and } \mu_{y}=6.8

\sigma_{x}=0.4 \text { and } \sigma_{y}=0.1

3 X

Y-X

X+4 Y

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