Suppose X is a Bernoulli random variable with P(X = 1) = p.
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Suppose X is a Bernoulli random variable with P(X = 1) = p. a. Show E(X3 ) = p. b. Show E(Xk ) = p for k 7 0. M02_STOC13
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Suppose X is a Bernoulli random variable with P(X = 1) = p. a. Show E(X3 ) = p. b. Show E(Xk ) = p for k 7 0. M02_STOC1312_Ch02_pp060-110.indd 102 06/08/14 4:32 PM Exercises 103 c. Suppose that p = 0.3. Compute the mean, variance, skewness, and kurtosis of X. (Hint: You might find it helpful to use the formulas given in Exercise 2.21.)
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