In the problem below, if we increase the number of cabs passing your workplace per hour, and change the question in letter (a), with probability of waiting time is fewer than 10 minutes. The chances of you boarding a cab fewer 10 minutes will increase. 3-171. Cabs pass your workplace according to a Poisson pro- cess with a mean of five cabs per hour. Suppose that you exit the 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.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Question 5
In the problem below, if we increase the number of cabs passing your workplace per hour, and
change the question in letter (a), with probability of waiting time is fewer than 10 minutes. The
chances of you boarding a cab fewer 10 minutes will increase.
True
False
3-171. Cabs pass your workplace according to a Poisson pro-
cess with a mean of five cabs per hour. Suppose that you exit
the 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 that
you wait more than 10 minutes is 0.1.
a. Ut X - # of cabs that
in 10 mins
´λ =
5 cabs Thr
ho
x x 10 mins = 7/6'²
60min
pass your workplace
P(X=0) = 6·176 (176)°
0!
=
0.435
Transcribed Image Text:Question 5 In the problem below, if we increase the number of cabs passing your workplace per hour, and change the question in letter (a), with probability of waiting time is fewer than 10 minutes. The chances of you boarding a cab fewer 10 minutes will increase. True False 3-171. Cabs pass your workplace according to a Poisson pro- cess with a mean of five cabs per hour. Suppose that you exit the 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 that you wait more than 10 minutes is 0.1. a. Ut X - # of cabs that in 10 mins ´λ = 5 cabs Thr ho x x 10 mins = 7/6'² 60min pass your workplace P(X=0) = 6·176 (176)° 0! = 0.435
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