Bill contends that people spend between 0 and 80 minutes each day listening to music, and he insists that no range of times is any more likely than any other. Jane argues that it doesn’t make sense to believe that because people are just as likely to spend more than two hours listening to music as they are to spend between 30 and fifty minutes and proposes a normal distribution instead. According to Jane's conjecture, what would be the 95th percentile of the amount of time that people spend listening to music in a day?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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Bill contends that people spend between 0 and 80 minutes each day listening to music, and he insists that no range of times is any more likely than any other. Jane argues that it doesn’t make sense to believe that because people are just as likely to spend more than two hours listening to music as they are to spend between 30 and fifty minutes and proposes a normal distribution instead.

According to Jane's conjecture, what would be the 95th percentile of the amount of time that people spend listening to music in a day?

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