Suppose that the average number of Facebook friends users have is normally distributed with a mean of 140 and a standard deviation of about 50. Assume twelve individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible.What is the distribution of ¯xx¯? ¯xx¯ ~ N( , )For the group of 12, find the probability that the average number of friends is more than 124. Find the third quartile for the average number of Facebook friends. For part b), is the assumption that the distribution is normal necessary? YesNo

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Answered: Suppose that the average number of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose that the average number of Facebook friends users have is normally distributed with a mean of 140 and a standard deviation of about 50. Assume twelve individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible.

What is the distribution of ¯xx¯? ¯xx¯ ~ N( , )
For the group of 12, find the probability that the average number of friends is more than 124.
Find the third quartile for the average number of Facebook friends.
For part b), is the assumption that the distribution is normal necessary? YesNo

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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