Problem 2: Random variable X has the following pmf and Y = eX. Calculate EY] directly (without first finding the pmf of Y). (0.1 if x = 0 0.5 if x = 1 Px (x) = 0.4 if x = 3 otherwise

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Problem 2: Random variable X has the following pmf and Y = e\. Calculate E[Y] directly (without first
finding the pmf of Y).
(0.1
if x = 0
0.5
if x = 1
Px (x) =
0.4
if x = 3
otherwise
Transcribed Image Text:Problem 2: Random variable X has the following pmf and Y = e\. Calculate E[Y] directly (without first finding the pmf of Y). (0.1 if x = 0 0.5 if x = 1 Px (x) = 0.4 if x = 3 otherwise
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