Suppose that X has a Poisson distribution with mean : 2 and Y has an exponential distribution with mean 0 = 2. If X and Y are independent, find the mean and variance of W=4X -2Y.

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Suppose that X has a Poisson distribution with mean
H = 2
and Y has an exponential distribution with mean
0 = 2.
If X and Y are independent, find the mean and variance of W=4X -2Y.
µ = 4, o² = 16
H =
µ = 4, 6² = 12
H = 7,02 = 34
H = 4, o² = 48
H = 7,0² = 33
Transcribed Image Text:Suppose that X has a Poisson distribution with mean H = 2 and Y has an exponential distribution with mean 0 = 2. If X and Y are independent, find the mean and variance of W=4X -2Y. µ = 4, o² = 16 H = µ = 4, 6² = 12 H = 7,02 = 34 H = 4, o² = 48 H = 7,0² = 33
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