27. According to media research, the typical American listened to 195 hours of music in the last year. This is down from 290 hours 4 years earlier. Dick Trythal! is a big country and western music fan. He listens to music while working around the house, reading, and riding in his truck. Assume the number of hours spent listening to music follows a normal probability distribution with a standard devia- tion of 8.5 hours. a. If Dick is in the top 1% in terms of listening time, how many hours did he listen last year? b. Assume that the distribution of times 4 years earlier also follows the normal probability distribution with a standard deviation of 8.5 hours. How many hours did the 1% who listen to the least music actually listen?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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27. According to media research, the typical American listened to 195 hours of
music in the last year. This is down from 290 hours 4 years earlier. Dick Trythal
is a big country and western music fan. He listens to music while working around
the house, reading, and riding in his truck. Assume the number of hours spent
listening to music follows a normal probability distribution with a standard devia-
tion of 8.5 hours.
a. If Dick is in the top 1% in terms of listening time, how many hours did he listen
last year?
b. Assume that the distribution of times 4 years earlier also follows the norma!
probability distribution with a standard deviation of 8.5 hours. How many hours
did the 1% who listen to the least music actually listen?
Transcribed Image Text:27. According to media research, the typical American listened to 195 hours of music in the last year. This is down from 290 hours 4 years earlier. Dick Trythal is a big country and western music fan. He listens to music while working around the house, reading, and riding in his truck. Assume the number of hours spent listening to music follows a normal probability distribution with a standard devia- tion of 8.5 hours. a. If Dick is in the top 1% in terms of listening time, how many hours did he listen last year? b. Assume that the distribution of times 4 years earlier also follows the norma! probability distribution with a standard deviation of 8.5 hours. How many hours did the 1% who listen to the least music actually listen?
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