Answered: A certain university's Wide Area…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Question

A certain university's Wide Area Telephone Service (WATS) line can handle as many as 20 calls per minute. The average number of calls per minute during peak periods is 11 with a standard deviation of 3 calls. What percentage of the time will the WATS line be overloaded during peak periods? (Assume that the numbers of phone calls are normally distributed during the peak period.)

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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