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Please give a detailed response, not just the answer. If it is possible, a way to...

Please give a detailed response, not just the answer. If it is possible, a way to work out the problem in Excel would be helpful! Thanks in advance!

Suppose that the average number of Facebook friends users have is normally distributed with a mean of 112 and a standard deviation of about 43. Assume forty-one individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible.

  1. What is the distribution of x¯? x¯ ~ N
  2. For the group of 41, find the probability that the average number of friends is more than 115.
  3. Find the third quartile for the average number of Facebook friends.
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