I need help with this please 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.) P012345645678910111213141516P0.10.10.20.30.9048 0.8187 0.74080.60650.99530.9825 0.96310.90980.99980.9989 0.9964 0.99210.98561.00000.9999 0.9997 0.9992 0.99821.0000 1.0000 0.9999 0.99981.0000 1.0000Poisson Probability Sums Σ p(x;μ)x=00.99991.0000T1.01.52.02.50 0.3679 0.2231 0.1353 0.0821 0.04981 0.7358 0.5578 0.4060 0.2873 0.19912 0.9197 0.8088 0.6767 0.5438 0.42320.9810 0.9344 0.8571 0.7576 0.64720.9963 0.9814 0.9473 0.8912 0.81530.9994 0.9955 0.9834 0.9580 0.916131.00.20.30.40.67030.93841.50.40.9991 0.9955 0.98580.99981.00002.0"0.50.5f0.96650.9989 0.9958 0.98810.99981.0000fl3.02.50.60.70.80.5488 0.4966 0.44930.87810.8442 0.80880.96590.95260.9942 0.99090.9992 0.99860.99990.99981.0000 1.00000.70.80.99991.00000.97690.99660.99961.00003.0"0.60.9989 0.99620.9997 0.9989 0.99670.99991.00000.72540.85763.54.04.55.00.00670.0302 0.0183 0.01110.1359 0.0916 0.0611 0.04040.3208 0.2381 0.1736 0.12470.5366 0.4335 0.3423 0.26500.6288 0.53210.7851 0.70290.93470.8893 0.83110.97330.9489 0.91340.9901 0.9786 0.95970.9919 0.98290.9997 0.9990 0.9972 0.99330.99970.9999 0.9997 0.99921.00000.9999 0.99971.0000 0.99991.00003.50.90.40660.77254.00.93710.98650.99770.99971.00000.94.50.44050.61600.76220.86660.93190.9991 0.9976 0.99450.99800.99930.99980.99991.00005.00.96820.9863

From the information, given thatLet X denotes the number of accidents occur per month at a certain…

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.)

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.)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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Question

I need help with this please

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

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Step 1: Define the given data

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Step 2: Obtain the probability that exactly 3 accidents will occur in any given month at this intersection

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Step 3: Obtain the probability that fewer than 6 accidents will occur in any given month.

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Step 4: Obtain the probability that at least 2 accidents will occur in any given month.

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