Suppose that the average number of Facebook friends users have is normally distributed with a mean of 114 and a standard deviation of about 46. Assume eighteen individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of ã? ¤ ~ N( b. For the group of 18, find the probability that the average number of friends is less than 126. c. Find the first quartile for the average number of Facebook friends. d. For part b), is the assumption that the distribution is normal necessary? ONoOYes

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Chapter1: Combinatorial Analysis
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Suppose that the average number of Facebook friends users have is normally distributed with a mean of 114 and
a standard deviation of about 46. Assume eighteen individuals are randomly chosen. Answer the following
questions. Round all answers to 4 decimal places where possible.
a. What is the distribution of ã? ¤ ~ N(
b. For the group of 18, find the probability that the average number of friends is less than 126.
c. Find the first quartile for the average number of Facebook friends.
d. For part b), is the assumption that the distribution is normal necessary? ONoOYes
Transcribed Image Text:Suppose that the average number of Facebook friends users have is normally distributed with a mean of 114 and a standard deviation of about 46. Assume eighteen individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of ã? ¤ ~ N( b. For the group of 18, find the probability that the average number of friends is less than 126. c. Find the first quartile for the average number of Facebook friends. d. For part b), is the assumption that the distribution is normal necessary? ONoOYes
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