Suppose that the average number of Facebook friends users have is normally distributed with a mean of 111 and a standard deviation of about 50. Assume eleven individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) For the group of 11, find the probability that the average number of friends is less than 110.

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Suppose that the average number of Facebook friends users have is normally distributed with a mean of 111 and a standard deviation of about 50. Assume eleven individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible.

  1. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
  2. For the group of 11, find the probability that the average number of friends is less than 110. 

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