On average, 2.5 traffic accidents per month occur at a certain intersection. Complete parts (a) through (c) below. Click here to view the table of Poisson probability sums. (a) What is the probability that exactly 2 accidents will occur in any given month at this intersection? The probability that exactly 2 accidents will occur in any given month at this intersection is (Round to four decimal places as needed.)
On average, 2.5 traffic accidents per month occur at a certain intersection. Complete parts (a) through (c) below. Click here to view the table of Poisson probability sums. (a) What is the probability that exactly 2 accidents will occur in any given month at this intersection? The probability that exactly 2 accidents will occur in any given month at this intersection is (Round to four decimal places as needed.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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Transcribed Image Text:On average, 2.5 traffic accidents per month occur at a certain intersection. Complete parts (a) through (c) below.
Click here to view the table of Poisson probability sums.
(a) What is the probability that exactly 2 accidents will occur in any given month at this intersection?
The probability that exactly 2 accidents will occur in any given month at this intersection is
(Round to four decimal places as needed.)
Transcribed Image Text:T
0.1
0.2
0.3
T
0 0.9048 0.8187 0.7408
1 0.9953 0.9825 0.9631
2 0.9998 0.9989 0.9964 0.9921
3
1.0000
0.9999 0.9997 0.9992
1.0000 1.0000
4
5
6
1'
0
1
HEER TOTA CON
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
T
0.1
1.0
0.3679
0.7358
0.9197
0.9810
0.9963
0.9994
Poisson Probability Sums Σ p(x; μ)
x=0
1.0
0.2
0.3
0.9999 0.9991 0.9955
1.0000 0.9998 0.9989
0.9998
1.0000
1.0000
1.5
f
0.6
0.9384
0.8781 0.8442
0.4
0.5
0.6703 0.6065 0.5488
0.9098
0.9856 0.9769 0.9659
0.9982 0.9966 0.9942
0.9999 0.9998 0.9996
1.0000 1.0000 1.0000
2.0
0.4
1.5
2.0
2.5
0.2231
0.1353
0.0821
0.0498
0.5578
0.4060 0.2873
0.1991
0.8088
0.6767 0.5438
0.1359
0.4232 0.3208
0.6472
0.9344 0.8571 0.7576
0.9814 0.9473 0.8912
0.8153
0.9955 0.9834 0.9580 0.9161
0.5
f
fl
3.0
0.9858 0.9665
0.9958 0.9881
0.9989 0.9962
0.9997 0.9989
0.9999 0.9997
2.5
1.0000 0.9999
0.6
3.0
fe
3.5
4.0
0.0302 0.0183
0.7254
0.8576
0.9997
1.0000 0.9999
1.0000
0.7
0.8
0.4966 0.4493
0.8088
0.9992 0.9986
0.9999 0.9998
1.0000
1.0000
0.7
0.8
0.5366 0.4335 0.3423
3.5
0.9526
0.9909
4.5
5.0
0.0111
0.0067
0.0916 0.0611
0.0404
0.2381 0.1736 0.1247
0.2650
0.6288
0.7851
0.5321
0.7029
0.9347
0.8893 0.8311
0.7622
0.8666
0.9319
0.9733 0.9489 0.9134
0.9901 0.9786 0.9597
0.9967 0.9919 0.9829 0.9682
0.9990 0.9972 0.9933 0.9863
4.0
0.9991 0.9976
0.9997 0.9992
0.9999 0.9997
1.0000
0.9999
1.0000
0.9
0.4066
0.7725
0.9371
0.9865
0.9977
0.9997
1.0000
0.9
4.5
0.4405
0.6160
0.9945
0.9980
0.9993
0.9998
0.9999
1.0000
5.0
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