Suppose that the distribution of Uber rides around the quoted arrival time is normally distributed. Themean waiting time (relative to the quoted time) is 0, with a standard deviation of 3 minutes.a. Using the empirical rule, what percentage of rides arrive within 3 minutes of the mean (3 minutesbefore to 3 minutes after)?b. Graphically depict the area that would need to be calculated to determine the probability ofwaiting more than 4 minutes for a ride. Explain your graph.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.16P
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Suppose that the distribution of Uber rides around the quoted arrival time is normally distributed. The
mean waiting time (relative to the quoted time) is 0, with a standard deviation of 3 minutes.
a. Using the empirical rule, what percentage of rides arrive within 3 minutes of the mean (3 minutes
before to 3 minutes after)?
b. Graphically depict the area that would need to be calculated to determine the probability of
waiting more than 4 minutes for a ride. Explain your graph.

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