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Suppose that the average number of Facebook friends users have is normally distributed with a mean...

Suppose that the average number of Facebook friends users have is normally distributed with a mean of 136 and a standard deviation of about 44. Assume eight individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible.

What is the distribution of ¯x? ¯x ~ N

For the group of 8, find the probability that the average number of friends is less than 143

Find the first quartile for the average number of Facebook friends.

For part b), is the assumption that the distribution is normal necessary yes or no

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Answer #1

Here we are given O À NN (136, 44 ) Хvр (цас 44) o rx4 193) — Р x -17 4 2 1ч1 -176) 4 44/ P7 (1) Ге) ретт ач — рухск) - 0-2 (

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