random variable Y is binomial with parameters n = 5 and p = x. a) E(Y) = 2.5. b) E(Y²) = 25.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Exercise 4 The random variable X has a uniform distribution on (0, 1). Given that X = x, the
random variable Y is binomial with parameters n = 5 and p = x.
a) E(Y) = 2.5.
b) E(Y²) = 25.
Transcribed Image Text:Exercise 4 The random variable X has a uniform distribution on (0, 1). Given that X = x, the random variable Y is binomial with parameters n = 5 and p = x. a) E(Y) = 2.5. b) E(Y²) = 25.
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