7. Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The mean arrival rate is 10 passengers per minute. Use the following Poisson cumulative probability table wherever possible. a) Compute the probability of no arrivals in a one-minute period. b) Compute the probability that three or fewer passengers arrive in a one-minute period. c) Compute the probability of no arrivals in a 15-second period.
7. Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The mean arrival rate is 10 passengers per minute. Use the following Poisson cumulative probability table wherever possible. a) Compute the probability of no arrivals in a one-minute period. b) Compute the probability that three or fewer passengers arrive in a one-minute period. c) Compute the probability of no arrivals in a 15-second period.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please provide step-by-step calculations with formulas.
Transcribed Image Text:7. Airline passengers arrive randomly and independently at the passenger-screening facility at a
major international airport. The mean arrival rate is 10 passengers per minute. Use the
following Poisson cumulative probability table wherever possible.
a) Compute the probability of no arrivals in a one-minute period.
b) Compute the probability that three or fewer passengers arrive in a one-minute period.
c) Compute the probability of no arrivals in a 15-second period.
d) Compute the probability of at least one arrival in a 15-second period.
e) Compute the mean and standard deviation for arrival rate of passengers per minute.
Poisson Cumulative Probability Table
k
0
1
2
3
4
5
6
7
8
9
10
6.0
.0025
.0174
.0620
.1512
2851
.4457
.6063
.7440
.8472
.9161
.9574
7.0
.0009
.0073
.0296
.0818
.1730
.3007
.4497
.5987
.7291
.8305
.9015
8.0
.0003
.0030
.0138
.0424
.0996
.1912
.3134
.4530
.5925
.7166
.8159
P
9.0
.0001
.0012
.0062
.0212
.0550
.1157
.2068
.3239
.4557
.5874
.7060
10.0
.0000
.0005
.0028
.0103
.0293
.0671
.1301
.2202
.3328
.4579
.5830
11.0
.0000
.0002
.0012
.0049
.0151
.0375
.0786
.1432
.2320
.3405
.4599
12.0
.0000
.0001
.0005
.0023
.0076
.0203
.0458
.0895
.1550
.2424
.3472
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