画 Per M Mat Fina M X (1) E Qui A line E Pea Pro STA G You C Wh A Pro IM Z-S Σ Rou О МА a SOL C Ski Ans + A myopenmath.com/assess2/?cid=112519&aid=8349859#/skip/11 O 46mins X Suppose that the average...

Extracted text: 画 Per M Mat Fina M X (1) E Qui A line E Pea Pro STA G You C Wh A Pro IM Z-S Σ Rou О МА a SOL C Ski Ans + A myopenmath.com/assess2/?cid=112519&aid=8349859#/skip/11 O 46mins X Suppose that the average number of Facebook friends users have is normally distributed with a mean of 122 and a standard deviation of about 58. Assume forty-four individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of x? x - N( 122 58 b. For the group of 44, find the probability that the average number of friends is less than 132. c. Find the third quartile for the average number of Facebook friends. d. For part b), is the assumption that the distribution is normal necessary? O YesO No Hint: Some Helpful Videos: • Finding the Sampling Distribution [+] • Finding a Probability Using the Central Limit Theorem [+] Finding Value Given a Probability Using the Central Limit Theorem [+] • The Central Limit Theorem For Sums [+] Hint a > Next Question + • i 11:13