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

You randomly sample 16 observations from a discrete distribution with mean

μ = 36 and variance σ2 = 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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