Use the central limit theorem to find the probability that, Basic Statistics

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Use the central limit theorem to find the probability that

Number of friends on Facebook. Pew Center's Internet and American Life Project recently reported that the average Facebook user has 245 friends.8 This distribution only takes integer values, so it is certainly not Normal. We'll also assume that it is skewed to the right with a standard deviation σ = 115. Consider an SRS of 30 Facebook users.

(a) What are the mean and standard deviation of the total number of friends in this sample?

(b) What are the mean and standard deviation of the mean number of friends per user?

(c) Use the central limit theorem to find the probability that the average number of friends among 30 Facebook users is greater than 275.

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Basic Statistics: Use the central limit theorem to find the probability that

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