Consider a random variable Y with density function given by f(y) = ke-y²/2 a Find k. b Find the moment-generating function of Y. c Find E(Y) and V (Y). -∞ < y < ∞.

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Please answer a,b,c, and show steps if possible. Do not randomly write wrong answers if don't know how to solve.
Consider a random variable Y with density function given by
f(y) = ke-y²/2
a
b
Find k.
Find the moment-generating function of Y.
Find E (Y) and V (Y).
-∞ < y < ∞.
Transcribed Image Text:Consider a random variable Y with density function given by f(y) = ke-y²/2 a b Find k. Find the moment-generating function of Y. Find E (Y) and V (Y). -∞ < y < ∞.
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