ContinuousDistributionWorksheet[1] - STAT 225 Continuous...

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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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Assume 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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ContinuousDistributionWorksheet[1] - STAT 225 Continuous...

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