On average, 4 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 3 accidents will occur in any given month at this intersection? The probability that exactly 3 accidents will occur in any given month at this intersection is (Round to four decimal places as needed.) (b) What is the probability that fewer than 6 accidents will occur in any given month at this intersection? The probability that fewer than 6 accidents will occur in any given month at this intersection is (Round to four decimal places as needed.) (c) What is the probability that at least 2 accidents will occur in any given month at this intersection? The probability that at least 2 accidents will occur in any given month at this intersection is (Round to four decimal places as needed.)

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On average, 4 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 3 accidents will occur in any given month at this intersection?
The probability that exactly 3 accidents will occur in any given month at this intersection is
(Round to four decimal places as needed.)
(b) What is the probability that fewer than 6 accidents will occur in any given month at this intersection?
The probability that fewer than 6 accidents will occur in any given month at this intersection is
(Round to four decimal places as needed.)
(c) What is the probability that at least 2 accidents will occur in any given month at this intersection?
The probability that at least 2 accidents will occur in any given month at this intersection is
(Round to four decimal places as needed.)
Transcribed Image Text:On average, 4 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 3 accidents will occur in any given month at this intersection? The probability that exactly 3 accidents will occur in any given month at this intersection is (Round to four decimal places as needed.) (b) What is the probability that fewer than 6 accidents will occur in any given month at this intersection? The probability that fewer than 6 accidents will occur in any given month at this intersection is (Round to four decimal places as needed.) (c) What is the probability that at least 2 accidents will occur in any given month at this intersection? The probability that at least 2 accidents will occur in any given month at this intersection is (Round to four decimal places as needed.)
P
0
1
2
3
4
5
6
4
5
6
7
8
9
10
11
12
13
14
15
16
P
0.1
0.1
0.2
0.3
0.9048 0.8187 0.7408
0.6065
0.9953
0.9825 0.9631
0.9098
0.9998
0.9989 0.9964 0.9921
0.9856
1.0000
0.9999 0.9997 0.9992 0.9982
1.0000 1.0000 0.9999 0.9998
1.0000 1.0000
Poisson Probability Sums Σ p(x;μ)
x=0
0.9999
1.0000
T
1.0
1.5
2.0
2.5
0 0.3679 0.2231 0.1353 0.0821 0.0498
1 0.7358 0.5578 0.4060 0.2873 0.1991
2 0.9197 0.8088 0.6767 0.5438 0.4232
0.9810 0.9344 0.8571 0.7576 0.6472
0.9963 0.9814 0.9473 0.8912 0.8153
0.9994 0.9955 0.9834 0.9580 0.9161
3
1.0
0.2
0.3
0.4
0.6703
0.9384
1.5
0.4
0.9991 0.9955 0.9858
0.9998
1.0000
2.0
"
0.5
0.5
f
0.9665
0.9989 0.9958 0.9881
0.9998
1.0000
fl
3.0
2.5
0.6
0.7
0.8
0.5488 0.4966 0.4493
0.8781
0.8442 0.8088
0.9659
0.9526
0.9942 0.9909
0.9992 0.9986
0.9999
0.9998
1.0000 1.0000
0.7
0.8
0.9999
1.0000
0.9769
0.9966
0.9996
1.0000
3.0
"
0.6
0.9989 0.9962
0.9997 0.9989 0.9967
0.9999
1.0000
0.7254
0.8576
3.5
4.0
4.5
5.0
0.0067
0.0302 0.0183 0.0111
0.1359 0.0916 0.0611 0.0404
0.3208 0.2381 0.1736 0.1247
0.5366 0.4335 0.3423 0.2650
0.6288 0.5321
0.7851 0.7029
0.9347
0.8893 0.8311
0.9733
0.9489 0.9134
0.9901 0.9786 0.9597
0.9919 0.9829
0.9997 0.9990 0.9972 0.9933
0.9997
0.9999 0.9997 0.9992
1.0000
0.9999 0.9997
1.0000 0.9999
1.0000
3.5
0.9
0.4066
0.7725
4.0
0.9371
0.9865
0.9977
0.9997
1.0000
0.9
4.5
0.4405
0.6160
0.7622
0.8666
0.9319
0.9991 0.9976 0.9945
0.9980
0.9993
0.9998
0.9999
1.0000
5.0
0.9682
0.9863
Transcribed Image Text:P 0 1 2 3 4 5 6 4 5 6 7 8 9 10 11 12 13 14 15 16 P 0.1 0.1 0.2 0.3 0.9048 0.8187 0.7408 0.6065 0.9953 0.9825 0.9631 0.9098 0.9998 0.9989 0.9964 0.9921 0.9856 1.0000 0.9999 0.9997 0.9992 0.9982 1.0000 1.0000 0.9999 0.9998 1.0000 1.0000 Poisson Probability Sums Σ p(x;μ) x=0 0.9999 1.0000 T 1.0 1.5 2.0 2.5 0 0.3679 0.2231 0.1353 0.0821 0.0498 1 0.7358 0.5578 0.4060 0.2873 0.1991 2 0.9197 0.8088 0.6767 0.5438 0.4232 0.9810 0.9344 0.8571 0.7576 0.6472 0.9963 0.9814 0.9473 0.8912 0.8153 0.9994 0.9955 0.9834 0.9580 0.9161 3 1.0 0.2 0.3 0.4 0.6703 0.9384 1.5 0.4 0.9991 0.9955 0.9858 0.9998 1.0000 2.0 " 0.5 0.5 f 0.9665 0.9989 0.9958 0.9881 0.9998 1.0000 fl 3.0 2.5 0.6 0.7 0.8 0.5488 0.4966 0.4493 0.8781 0.8442 0.8088 0.9659 0.9526 0.9942 0.9909 0.9992 0.9986 0.9999 0.9998 1.0000 1.0000 0.7 0.8 0.9999 1.0000 0.9769 0.9966 0.9996 1.0000 3.0 " 0.6 0.9989 0.9962 0.9997 0.9989 0.9967 0.9999 1.0000 0.7254 0.8576 3.5 4.0 4.5 5.0 0.0067 0.0302 0.0183 0.0111 0.1359 0.0916 0.0611 0.0404 0.3208 0.2381 0.1736 0.1247 0.5366 0.4335 0.3423 0.2650 0.6288 0.5321 0.7851 0.7029 0.9347 0.8893 0.8311 0.9733 0.9489 0.9134 0.9901 0.9786 0.9597 0.9919 0.9829 0.9997 0.9990 0.9972 0.9933 0.9997 0.9999 0.9997 0.9992 1.0000 0.9999 0.9997 1.0000 0.9999 1.0000 3.5 0.9 0.4066 0.7725 4.0 0.9371 0.9865 0.9977 0.9997 1.0000 0.9 4.5 0.4405 0.6160 0.7622 0.8666 0.9319 0.9991 0.9976 0.9945 0.9980 0.9993 0.9998 0.9999 1.0000 5.0 0.9682 0.9863
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