Question: 2.4 Suppose X is a Bernoulli random variable with Pr1X = 12 = p. a. Show E1X42 = p. b. Show E1Xk2 = p for

2.4 Suppose X is a Bernoulli random variable with Pr1X = 12 = p.

a. Show E1X42 = p.

b. Show E1Xk2 = p for k 7 0.

c. Suppose that p = 0.53. 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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