5. Suppose that X is a discrete random variable with probability density function p(x) = cx³, (a) Find the value of c. (c) Find Var(X). x = 1, 2, 3, 4. (b) Find E(X) and E(X(X – 1)).

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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5. Suppose that X is a discrete random variable with probability density function
p(x) = cx',
(a) Find the value of c.
(c) Find Var(X).
x = 1, 2, 3, 4.
(b) Find E(X) and E(X(X – 1)).
Transcribed Image Text:5. Suppose that X is a discrete random variable with probability density function p(x) = cx', (a) Find the value of c. (c) Find Var(X). x = 1, 2, 3, 4. (b) Find E(X) and E(X(X – 1)).
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