Consider a random variable X with the following probability function: 0.3 if x = 0, 0.2 if æ = 1, f(x) = 0.5 if x = 2, %3D 0 otherwise. (a) Find V(X) using the formula V(X) = E[(X – E(X))*]. (b) Using the result of (a) only, find V(3X + 3).

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Consider a random variable X with the following probability function:
0.3 if x = 0,
0.2 if x = 1,
f(x) =
0.5 if x = 2,
otherwise.
(a) Find V(X) using the formula
V(X) = E[(X – E(X))*].
(b) Using the result of (a) only, find V(3X+ 3).
Transcribed Image Text:Consider a random variable X with the following probability function: 0.3 if x = 0, 0.2 if x = 1, f(x) = 0.5 if x = 2, otherwise. (a) Find V(X) using the formula V(X) = E[(X – E(X))*]. (b) Using the result of (a) only, find V(3X+ 3).
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