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

You 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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