Let ? denote the amount of time a randomly selected customer spends on hold with some insurance company. Suppose X follows a distribution with a mean of 8 hours and a variance of 16 hours. The population density curve for X is shown below 1. If you randomly pick one-hundred customers, find the probability that the average time spent on hold is within 1 hour of the population mean.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 36E
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Let ? denote the amount of time a randomly selected customer spends on hold with some insurance company. Suppose X follows a distribution with a mean of 8 hours and a variance of 16 hours. The population density curve for X is shown below

1. If you randomly pick one-hundred customers, find the probability that the average time spent on hold is within 1 hour of the population mean.

Value of density curve
0.10
0.08
0.06
0.04
0.02
0.00
Population Distribution for Time spent on hold
5
10
15
Time Spent on hold (hours)
20
25
30
Transcribed Image Text:Value of density curve 0.10 0.08 0.06 0.04 0.02 0.00 Population Distribution for Time spent on hold 5 10 15 Time Spent on hold (hours) 20 25 30
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