Question: Yi, i = 1, . . . , n, are i.i.d. Bernoulli random variables with p = 0.4. Let denote the sample mean. (a)

Yi, i = 1, . . . , n, are i.i.d. Bernoulli random variables with p = 0.4. Let denote the sample mean.
(a) Use the central limit to compute approximations for
i. Pr(≥ 0,43) when n = 100.
ii. Pr(≤ 0.37) when n = 400,
(b) How large would n need to be to ensure that Pr(0.39 ≤ ≤ 0,41) ≥ 0.95? (Use the central limit theorem to compute an approximate answer.)

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