Suppose that the probability density function of X is fx(x) = { 2(1 − x), for 0 < x < 1; otherwise. (a) Find the expected value of X, E(X). (b) Find the rth raw moment of X. (c) Find E((X+3)²) using answer from part (a).

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Suppose that the probability density function of X is
2(1-x), for 0 < x < 1;
otherwise.
fx(x) = { 20
0,
(a) Find the expected value of X, E(X).
(b) Find the 7th raw moment of X.
(c) Find E((X+3)²) using answer from part (a).
Transcribed Image Text:Suppose that the probability density function of X is 2(1-x), for 0 < x < 1; otherwise. fx(x) = { 20 0, (a) Find the expected value of X, E(X). (b) Find the 7th raw moment of X. (c) Find E((X+3)²) using answer from part (a).
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