Question: You sample 16 observations from a discrete distribution with mean = 36 and variance 2 = 25. Use the central limit theorem to

You sample 16 observations from a discrete distribution with mean µ = 36 and variance σ

2 = 25.

Use the central limit theorem to determine

(a) P(X <¯ 34), (b)

P(X <¯ 37),

(c) P(X >¯ 33),

(d) P(34 < X <¯ 37).

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