the duration of a parking space search (during rush hours) is normally distributed with mean 30 minutes and standard deviation 10 minutes. a. What is the probability that the search takes less than 10 minutes? b. Find the amount of time that corresponds to the 99th percentile for the duration of parking space search. c. Find the amount of times, equidistant from the mean of 30 minutes, such that 90% of all search times are between these values.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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the duration of a parking space search (during rush hours) is
normally distributed with mean 30 minutes and standard deviation 10 minutes.
a. What is the probability that the search takes less than 10 minutes?
b. Find the amount of time that corresponds to the 99th percentile for the duration of
parking space search.
c. Find the amount of times, equidistant from the mean of 30 minutes, such that 90% of all
search times are between these values.
Transcribed Image Text:the duration of a parking space search (during rush hours) is normally distributed with mean 30 minutes and standard deviation 10 minutes. a. What is the probability that the search takes less than 10 minutes? b. Find the amount of time that corresponds to the 99th percentile for the duration of parking space search. c. Find the amount of times, equidistant from the mean of 30 minutes, such that 90% of all search times are between these values.
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