A state's weather service provides a continuously running 150-second recorded telephone message about weather conditions throughout the state. If a person calls and gets connected to the message he or she hears the message at any point in the 150-second run. If a person calls and gets connected, what is the probability, rounded to 4 decimal places, that he or she will hear a. at most 60 seconds of the message before it repeats? b. at least 60 seconds of the message before it repeats? c. at most half of the message before it repeats? d. at least half seconds of the message before it repeats?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A state's weather service provides a continuously running 150-second recorded telephone message about
weather conditions throughout the state. If a person calls and gets connected to the message he or she hears the
message at any point in the 150-second run. If a person calls and gets connected, what is the probability, rounded
to 4 decimal places, that he or she will hear
a. at most 60 seconds of the message before it repeats?
b. at least 60 seconds of the message before it repeats?
c. at most half of the message before it repeats?
d. at least half seconds of the message before it repeats?
Transcribed Image Text:A state's weather service provides a continuously running 150-second recorded telephone message about weather conditions throughout the state. If a person calls and gets connected to the message he or she hears the message at any point in the 150-second run. If a person calls and gets connected, what is the probability, rounded to 4 decimal places, that he or she will hear a. at most 60 seconds of the message before it repeats? b. at least 60 seconds of the message before it repeats? c. at most half of the message before it repeats? d. at least half seconds of the message before it repeats?
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