You and your partner share a tandem bicycle. An analysis of your tracking data has shown that the times when you are ready to go each morning are independent and uniformly distributed from 9–10:30am. Although each of you loves your morning cycle together, and appreciates that the other will be stranded if left behind, you have each reached a point, after many frustrating mornings, where you cannot bear waiting on the tandem for more than 20 minutes for the other to grace it with their presence. So each of you has decided that if the other isn’t ready within 20 minutes of whenever you are, you will leave without them. What is the probability that one of you will be stranded this morning?

You and your partner share a tandem bicycle. An analysis of your tracking data has shown that the times when you are ready to go each morning are independent and uniformly distributed from 9–10:30am. Although each of you loves your morning cycle together, and appreciates that the other will be stranded if left behind, you have each reached a point, after many frustrating mornings, where you cannot bear waiting on the tandem for more than 20 minutes for the other to grace it with their presence. So each of you has decided that if the other isn’t ready within 20 minutes of whenever you are, you will leave without them. What is the probability that one of you will be stranded this morning?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Large companies typically collect volumes of data before designing a product, not only to gain information as to whether the product should be released, but also to pinpoint which markets would be the best targets for the product. Several months ago, I was interviewed by such a company while shopping at a mall. I was asked about my exercise habits and whether or not I'd be interested in buying a video/DVD designed to teach stretching exercises. I fall into the male, 18 – 35-years-old category, and I guessed that, like me, many males in that category would not be interested in a stretching video. My friend Diane falls in the female, older-than-35 category, and I was thinking that she might like the stretching video. After being interviewed, I looked at the interviewer's results. Of the 93 people in my market category who had been interviewed, 17 said they would buy the product, and of the 113 people in Diane's market category, 34 said they would buy it. Assuming that these data came…
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