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disu 1. The probability that both will catch the bus within 15 minutes;

disu 1. The probability that both will catch the bus within 15 minutes;

A First Course in Probability (10th Edition)
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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Ugo and Vittorio arrive at the bus stop and wait for two different buses. Let U and V be the waiting time until they catch the bus of Ugo and Vittorio, respectively. Assume the time to be independent and exponentially distributed with mean 15. Compute: 1. The probability that both will catch the bus within 15 minutes; 2. The probability that both will catch the bus within 15 minutes, given they are still waiting after 10 min- utes; 3. The probability that Vittorio waited less than 5 minutes, given he is not at the bus stop after 15 minutes; 4. The probability that Vittorio will wait at least 10 minutes less than Ugo.
Transcribed Image Text:Ugo and Vittorio arrive at the bus stop and wait for two different buses. Let U and V be the waiting time until they catch the bus of Ugo and Vittorio, respectively. Assume the time to be independent and exponentially distributed with mean 15. Compute: 1. The probability that both will catch the bus within 15 minutes; 2. The probability that both will catch the bus within 15 minutes, given they are still waiting after 10 min- utes; 3. The probability that Vittorio waited less than 5 minutes, given he is not at the bus stop after 15 minutes; 4. The probability that Vittorio will wait at least 10 minutes less than Ugo.
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