A bus comes by every 13 minutes. The times from when a person arives at the busstop until the bus arrives follows a Uniform distribution from 0 to 13 minutes. A person arrives at the bus stop at a randomly selected time. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the person will wait more than 7 minutes is

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A bus comes by every 13 minutes. The times from when a person arives at the busstop until the bus arrives
follows a Uniform distribution from 0 to 13 minutes. A person arrives at the bus stop at a randomly selected
time. Round to 4 decimal places where possible.
a. The mean of this distribution is
b. The standard deviation is
c. The probability that the person will wait more than 7 minutes is
d. Suppose that the person has already been waiting for 1 minutes. Find the probability that the person's
total waiting time will be between 4.2 and 5.2 minutes
e. 12% of all customers wait at least how long for the train?
minutes.
Transcribed Image Text:A bus comes by every 13 minutes. The times from when a person arives at the busstop until the bus arrives follows a Uniform distribution from 0 to 13 minutes. A person arrives at the bus stop at a randomly selected time. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the person will wait more than 7 minutes is d. Suppose that the person has already been waiting for 1 minutes. Find the probability that the person's total waiting time will be between 4.2 and 5.2 minutes e. 12% of all customers wait at least how long for the train? minutes.
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