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. O True O 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 pass your workplace in 10 mins λ = 5 cabs hr x : 1hr 60min x 10 mins = 7/6 P/X=0) 176 (176)⁰ 0! = 0.435

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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.
O 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. let X - # of cabs that pass your workplace
in 10 mins
´λ=
5 cabs
hr
x
=
1hr
60min
0
P(X=0) 176 (176) ⁰.
0!
x 10 mins = 7/6²
کارت
0.435
Transcribed Image Text: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. O 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. let X - # of cabs that pass your workplace in 10 mins ´λ= 5 cabs hr x = 1hr 60min 0 P(X=0) 176 (176) ⁰. 0! x 10 mins = 7/6² کارت 0.435
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