Yi , i = 1, c, n, are i.i.d. Bernoulli random variables with
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Yi , i = 1, c, n, are i.i.d. Bernoulli random variables with p = 0.6. Let Y denote the sample mean. a. Use the central l
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Yi , i = 1, c, n, are i.i.d. Bernoulli random variables with p = 0.6. Let Y denote the sample mean. a. Use the central limit to compute approximations for i. Pr(Y 7 0.64) when n = 50. ii. Pr(Y 6 0.56) when n = 200. b. How large would n need to be to ensure that Pr(0.65 7 Y 7 0.55) = 0.95? (Hint: Use the central limit theorem to compute an approximate answer.)
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