12 Angry Men

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The following is a histogram of the first ten terms of a geometric distribution with p = .4. The mean of this distribution is 2.5 and the standard deviation is approximately 1.93.

A. What's the shape of the distribution of sample means for simple random samples of size 5 drawn from this distribution? What are the mean and the standard deviation of the sampling distribution?

B. What's the shape of the distribution of sample means for simple random samples of size 50 drawn from this distribution?

C. On average, how many trials will we have to wait for the first success to occur?

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