The amount of time, in minutes, that a person must wait for a bus is uniformly distributed between zero and 15 minutes, inclusive. a. What is the probability that a person waits fewer than 12.5 minutes? b. On the average, how long must a person wait? Find the mean, μ, and the standard deviation, σ. c. Ninety percent of the time, the time a person must wait falls below what value?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 16HP
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EXAMPLE 5.2
The amount of time, in minutes, that a person must wait for a bus is uniformly
distributed between zero and 15 minutes, inclusive.
a. What is the probability that a person waits fewer than 12.5 minutes?
b. On the average, how long must a person wait? Find the mean, μ, and the
standard deviation, σ.
c. Ninety percent of the time, the time a person must wait falls below what value?
Transcribed Image Text:EXAMPLE 5.2 The amount of time, in minutes, that a person must wait for a bus is uniformly distributed between zero and 15 minutes, inclusive. a. What is the probability that a person waits fewer than 12.5 minutes? b. On the average, how long must a person wait? Find the mean, μ, and the standard deviation, σ. c. Ninety percent of the time, the time a person must wait falls below what value?
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