3-171. Cabs pass your workplace according to a Poisson pro-cess with a mean of five cabs per hour. Suppose that you exitthe workplace at 6:00 P.M. Determine the following:(a) Probability that you wait more than 10 minutes for a cab.(b) Probability that you wait fewer than 20 minutes for a cab.(c) Mean number of cabs per hour so that the probability thatYOU wait more than 10 minutes is 0.1.

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Answered: 3-171. Cabs pass your workplace…

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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Suppose that Stephen makes 95% of his free throws. Assume that late in a basketball game, he is fouled and is awarded two shots. (a) What is the probability that he will make both shots? (b) What is the probability that he will make at least one shot? (c) What is the probability that he will miss both shots? (d) Late in a basketball game, a team often intentionally fouls an opposing player in order to stop the game clock. The usual strategy is to intentionally foul the other team's worst free- throw shooter. Assume that Stephen's team's center makes 57% of his free-throw shots. Calculate the probabilities for the center as shown in parts (a), (b), and (c). Assume as in parts (a), (b), and (c) that two shots will be awarded. P(center makes two shots) = P(center makes at least one shot) = P(center misses both shots) =
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C. Hail Mary Shot - A Hail Mary shot is a shot thrown from a place far away from the basket. Since it is far, people say you need to pray or hail Mary to make it. Based on Piel's records, 2 out of 500 hail Mary shots made by all players in the league went in. To know the chances of Piel witnessing a hail Mary shot, distribution should be used with average rate of occurrence equal to With this, the probability that Piel will never witness a hail Mary shot in the game is
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