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(a) Given that X ~ N(?? = 3; ?? 2= 4), compute P[11 < X <...

(a) Given that X ~ N(?? = 3; ?? 2= 4), compute P[11 < X < 7].

(b)What would be the sampling distribution of the sample average, ?̅, given that sample size is equal to 10? Explain.

(c) If the distribution of X is not known, but we still have ?? = 3, ?? 2= 4, what can you say about the sampling distribution of ?̅ when the sample size is 20? Does anything change if the sample size is 100? Explain.

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