Suppose that the number of Facebook friends users have is normally distributed with a mean of 126 and a standard deviation of about 51. Assume seventeen individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of ? x - N 11 b. For the group of 17, find the probability that the average number of friends is more than 113.

MATLAB: An Introduction with Applications
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Suppose that the number of Facebook friends users have is normally distributed with a mean of 126 and a
standard deviation of about 51. Assume seventeen individuals are randomly chosen. Answer the following
questions. Round all answers to 4 decimal places where possible.
a. What is the distribution of x? - N
b. For the group of 17, find the probability that the average number of friends is more than 113.
c. Find the first quartile for the average number of Facebook friends. Round to 2 decimal places.
d. For part b), is the assumption that the distribution is normal necessary? O No Yes
Transcribed Image Text:Suppose that the number of Facebook friends users have is normally distributed with a mean of 126 and a standard deviation of about 51. Assume seventeen individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of x? - N b. For the group of 17, find the probability that the average number of friends is more than 113. c. Find the first quartile for the average number of Facebook friends. Round to 2 decimal places. d. For part b), is the assumption that the distribution is normal necessary? O No Yes
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