Suppose that the average number of Facebook friends users have is normally distributed with a mean of 126 and a standard deviation of about 51. Assume forty-nine 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 49, find the probability that the average number of friends is less than 134.
3. Find the third quartile for the average number of Facebook friends.
4. For part b), is the assumption that the distribution is normal necessary? YesNo

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