Suppose that the probability density function of a discrete random varial X is given by x = 1, 2, 3, 4, 5 f(x) = 5' 0, elsewhere. Compute the first and second moments. Use the two results to find E[(X + 2)²]. (Hi Vrite (X + 2)² = X² + 4X +4) %3D

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Suppose that the probability density function of a discrete random variable
X is given by
f(x) =
x = 1, 2, 3, 4, 5
5
0,
elsewhere.
Compute the first and second moments. Use the two results to find E[(X + 2)²]. (Hint:
Write (X +2)² = X² + 4X + 4)
Transcribed Image Text:Suppose that the probability density function of a discrete random variable X is given by f(x) = x = 1, 2, 3, 4, 5 5 0, elsewhere. Compute the first and second moments. Use the two results to find E[(X + 2)²]. (Hint: Write (X +2)² = X² + 4X + 4)
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