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3. The time between arrivals of buses at a particular bus stop in a suburban area is exponentially distributed with a mean of 15 minutes. a. What is the probability that a passenger has to wait longer than 1 hour for a bus at the bus stop? [0.0183] b. Suppose a passenger has already been waiting at the bus stop for one hour, what is the probability that a bus arrives within the next 15 minutes? [0.6321] c. Determine T such that the probability that the passenger waits less than T minutes is 0.5. [10.4mins] ref:T1S11112

3. The time between arrivals of buses at a particular bus stop in a suburban area is exponentially distributed with a mean of 15 minutes. a. What is the probability that a passenger has to wait longer than 1 hour for a bus at the bus stop? [0.0183] b. Suppose a passenger has already been waiting at the bus stop for one hour, what is the probability that a bus arrives within the next 15 minutes? [0.6321] c. Determine T such that the probability that the passenger waits less than T minutes is 0.5. [10.4mins] ref:T1S11112

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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3. The time between arrivals of buses at a particular bus stop in a suburban area is exponentially distributed with a mean of 15 minutes. a. What is the probability that a passenger has to wait longer than 1 hour for a bus at the bus stop? [0.0183] b. Suppose a passenger has already been waiting at the bus stop for one hour, what is the probability that a bus arrives within the next 15 minutes? [0.6321] c. Determine T such that the probability that the passenger waits less than T minutes is 0.5. [10.4mins] ref:T1S11112
Transcribed Image Text:3. The time between arrivals of buses at a particular bus stop in a suburban area is exponentially distributed with a mean of 15 minutes. a. What is the probability that a passenger has to wait longer than 1 hour for a bus at the bus stop? [0.0183] b. Suppose a passenger has already been waiting at the bus stop for one hour, what is the probability that a bus arrives within the next 15 minutes? [0.6321] c. Determine T such that the probability that the passenger waits less than T minutes is 0.5. [10.4mins] ref:T1S11112
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