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Unformatted text preview: CE 3102 Fall 2008 Thought Problem 6 Waiting for a Bus (The Uniform Distribution) Suppose you take a bus to school, which you typically catch sometime between 7:00 AM and 9:00 AM. During this period, a bus comes by you stop frequently, every 10 minutes. Because of variation in the time that you leave your house, you do not always arrive at the same time. Consider a random model for the time you have to wait at the stop for the next bus. (a) What is an appropriate probability model for your wait? (b) What is the expected value of your wait? (c ) What is the standard deviation of your wait? (d) What is the probability that you will have to wait exactly 5 minutes? (e) What is the probability that you will have to wait between 2 and 4 minutes? CE 3102 Fall 2008 Thought Problem 6 Waiting for a Bus Instructors Partial Solution (a) Let X be the random variable representing your wait. X is an example of a continuous random variable. (Informally, a random variable is said to be continuous if its set of...
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- Spring '11