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STAT 225
Continuous Distributions Worksheet
Uniform Distribution
CDF:
E(X) =
Var(X) =
Suppose you are going out for the evening with friends and they ask you to be ready to leave by
9:00pm.
Your friends will arrive at a time
T
uniformly distributed between 9:00 and 9:30.
a)
State the distribution and its parameter(s):
b)
What is the probability that you will have to wait more than 20 minutes for your friends?
(HINT: Remember that a CDF only tells the area to the left of the random variable.)
c)
If at 9:20 your friends have not yet arrived, what is the probability that you have to wait
at least 5 more minutes?
d)
What is the probability that your friends will arrive at exactly 9:25?
e)
What is the amount of time you would expect to wait for your friends?
And what is the
variance of the time waited?
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View Full DocumentAssume that the time it takes a student to walk from one class to the next class on Purdue’s
campus ranges uniformly from 0 to 15 minutes.
a)
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 Spring '08
 MARTIN

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