Suppose that two persons make an appointment to meet

Chapter 3, Problem 11

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QUESTION:

Suppose that two persons make an appointment to meet between 5 p.m. and 6 p.m. at a certain location, and they agree that neither person will wait more than 10 minutes for the other person. If they arrive independently at random times between 5 p.m. and 6 p.m., what is the probability that they will meet?

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QUESTION:

Suppose that two persons make an appointment to meet between 5 p.m. and 6 p.m. at a certain location, and they agree that neither person will wait more than 10 minutes for the other person. If they arrive independently at random times between 5 p.m. and 6 p.m., what is the probability that they will meet?

ANSWER:

Step 1 of 4

Let  be the number of minutes after . that first person arrives and  is the number of minutes after . that second person arrives

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