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
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff67f39c8-0970-4aaa-950b-222612402a8a%2F19384a41-db41-40a8-bbd0-d6cb9afca804%2F4ilee0f_processed.jpeg&w=3840&q=75)
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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