Consider a Poisson probability distribution with 2 =2. Determine the following probabilities. a) P(x= 5) b) P(x > 6) c) P(xs 3) Click the icon to view a partial table of Poisson probabilities. a) P(x= 5)= (Round to four decimal places as needed.) b) P(x> 6) = (Round to four decimal places as needed.) c) P(xs 3)= (Round to four decimal places as needed.)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Consider a Poisson probability distribution: a) P(x=5) b) P(x>6) c) P(x< less than or equal to 3) **Round to four decimal places as needed** (The excel spreadsheet is provided as a partial table of Poisson probabilities.)
Consider a Poisson probability distribution with X=2. Determine the following probabilities.
a) P(x= 5)
b) P(x> 6)
c) P(xs3)
Click the icon to view a partial table of Poisson probabilities.
a) P(x=5)= (Round to four decimal places as needed.)
%3D
b) P(x> 6) = (Round to four decimal places as needed.)
c) P(xs 3) = (Round to four decimal places as needed.)
Transcribed Image Text:Consider a Poisson probability distribution with X=2. Determine the following probabilities. a) P(x= 5) b) P(x> 6) c) P(xs3) Click the icon to view a partial table of Poisson probabilities. a) P(x=5)= (Round to four decimal places as needed.) %3D b) P(x> 6) = (Round to four decimal places as needed.) c) P(xs 3) = (Round to four decimal places as needed.)
Poisson Probability
A1
K
E
B
1
Poisson Probability
0.02
0.04
0.05
0.06
0.07
0.08
0.09
0.005
0.01
0.03
2 X
0.9802
0.9704
0.9608
0.9512
0.9418
0.9324
0.9231
0.9139
0.995
0.99
0.0738
0.0823
0.0476
0.0012
0.005
0.0099
0.0196
0.0291
0.0384
0.0565
0.0653
4
1
0.0002
0.0004
0.0008
0.0017
0.0023
0.003
0.0037
2
0.0001
0.0001
0.0001
6.
3
8 X
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
0.9048
0.8187
0.7408
0.6703
0.6065
0.5488
0.4966
0.4493
0.4066
0.3679
10
1
0.0905
0.1637
0.2222
0.2681
0.3033
0.3293
0.3476
0.3595
0.3659
0.3679
11
0.0045
0.0164
0.0333
0.0536
0.0758
0.0988
0.1217
0.1438
0.1647
0.1839
12
0.0002
0.0011
0.0033
0.0072
0.0126
0.0198
0.0284
0.0383
0.0494
0.0613
13
4
0.0001
0.0007
0.0111
0.0016
0.0002
0.0003
0.003
0.005
0.0077
0.0153
14
5
0.0012
0.0002
0.0001
0.0004
0.0007
0.002
0.0031
15
6
ol
0.0005
0.0001
0.0001
0.0003
16
17
18 x
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2
19
0.3329
0.63012
0.2725
0.2466
0.2019
0.1827
0.2231
0.1496
0.2842
0.1653
0.1353
20
1
0.3662
0.3614
0.3543
0.3452
0.3347
0.323
0.3106
0.2975
0.2707
21
0.2014
0.2169
0.0867
0.026
0.0062
0.2303
0.2417
0.251
0.2584
0.264
0.2678
0.27
0.2707
22
0.0738
0.0203
0.0998
0.1128
0.1255
0.1378
0.1496
0.1607
0.171
0.1804
23
0.0324
0.0395
0.0471
0.0551
0.0636
0.0723
0.0902
0.0812
24
0.0045
0.0084
0.0111
0.0176
0.0141
0.0216
0.026
0.0078
25
0.0008
0.0012
0.0309
0.0361
0.0026
0.0005
0.0018
0.0035
0.0008
0.0047
0.0001
0.0098
0.012
26
7
0.0001
0.0002
0.0003
0.0011
0.0015
0.0003
0.002
0.0005
0.0001
27
0.0027
0.0034
0.0001
0.0001
0.0001
0.0002
28
0.0006
0.0009
29
0.0001
0.0001
0.0002
30 x
2.1
2.2
2.3
2.4
2.5
2.6
2.7
0.0672
0.1815
31
0.1225
0.1108
0.1003
0.0907
2.8
2.9
32
0.0821
0.0743
0.0608
0.055
1
0.2573
0.2438
0.2306
0.2177
0.0498
33
0.2052
0.1931
0.1703
0.27
0.2681
0.2652
0.2613
0.1596
0.1494
34
0.2565
0.251
0.246
3
0.189
0.1966
0.2033
0.2384
0.2314
0.224
35
0.0992
0.209
0.2138
0.2176
0.2205
0.2225
0.1082
0.1169
0.2237
0.224
0.1254
0.0602
36
0.1336
0.1414
0.1488
5
0.0417
0.0476
0.0538
0.1557
0.1622
0.168
0.1008
37
0.0668
0.0735
0.0804
0.0146
0.0044
0.0174
0.0206
0.0872
0.094
38
0.0241
0.0278
0.0319
0.0118
0.0055
0.0068
0.0362
0.0407
0.0455
0.0083
0.0099
0.0504
39
0.0011
0.0015
0.0019
0.0139
0.0163
0.0188
0.0216
0.0081
40
0.0025
0.0031
0.0038
0.0047
0.0014
0.0003
0.0004
0.0005
0.0057
0.0068
41
0.0007
0.0009
0.0011
10
0.0001
0.0018
0.0001
0.0001
0.0002
0.0022
0.0027
0.0002
0.0003
0.0004
0.0005
0.0006
0.0008
00001
0001
Ready
Transcribed Image Text:Poisson Probability A1 K E B 1 Poisson Probability 0.02 0.04 0.05 0.06 0.07 0.08 0.09 0.005 0.01 0.03 2 X 0.9802 0.9704 0.9608 0.9512 0.9418 0.9324 0.9231 0.9139 0.995 0.99 0.0738 0.0823 0.0476 0.0012 0.005 0.0099 0.0196 0.0291 0.0384 0.0565 0.0653 4 1 0.0002 0.0004 0.0008 0.0017 0.0023 0.003 0.0037 2 0.0001 0.0001 0.0001 6. 3 8 X 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0.9048 0.8187 0.7408 0.6703 0.6065 0.5488 0.4966 0.4493 0.4066 0.3679 10 1 0.0905 0.1637 0.2222 0.2681 0.3033 0.3293 0.3476 0.3595 0.3659 0.3679 11 0.0045 0.0164 0.0333 0.0536 0.0758 0.0988 0.1217 0.1438 0.1647 0.1839 12 0.0002 0.0011 0.0033 0.0072 0.0126 0.0198 0.0284 0.0383 0.0494 0.0613 13 4 0.0001 0.0007 0.0111 0.0016 0.0002 0.0003 0.003 0.005 0.0077 0.0153 14 5 0.0012 0.0002 0.0001 0.0004 0.0007 0.002 0.0031 15 6 ol 0.0005 0.0001 0.0001 0.0003 16 17 18 x 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 19 0.3329 0.63012 0.2725 0.2466 0.2019 0.1827 0.2231 0.1496 0.2842 0.1653 0.1353 20 1 0.3662 0.3614 0.3543 0.3452 0.3347 0.323 0.3106 0.2975 0.2707 21 0.2014 0.2169 0.0867 0.026 0.0062 0.2303 0.2417 0.251 0.2584 0.264 0.2678 0.27 0.2707 22 0.0738 0.0203 0.0998 0.1128 0.1255 0.1378 0.1496 0.1607 0.171 0.1804 23 0.0324 0.0395 0.0471 0.0551 0.0636 0.0723 0.0902 0.0812 24 0.0045 0.0084 0.0111 0.0176 0.0141 0.0216 0.026 0.0078 25 0.0008 0.0012 0.0309 0.0361 0.0026 0.0005 0.0018 0.0035 0.0008 0.0047 0.0001 0.0098 0.012 26 7 0.0001 0.0002 0.0003 0.0011 0.0015 0.0003 0.002 0.0005 0.0001 27 0.0027 0.0034 0.0001 0.0001 0.0001 0.0002 28 0.0006 0.0009 29 0.0001 0.0001 0.0002 30 x 2.1 2.2 2.3 2.4 2.5 2.6 2.7 0.0672 0.1815 31 0.1225 0.1108 0.1003 0.0907 2.8 2.9 32 0.0821 0.0743 0.0608 0.055 1 0.2573 0.2438 0.2306 0.2177 0.0498 33 0.2052 0.1931 0.1703 0.27 0.2681 0.2652 0.2613 0.1596 0.1494 34 0.2565 0.251 0.246 3 0.189 0.1966 0.2033 0.2384 0.2314 0.224 35 0.0992 0.209 0.2138 0.2176 0.2205 0.2225 0.1082 0.1169 0.2237 0.224 0.1254 0.0602 36 0.1336 0.1414 0.1488 5 0.0417 0.0476 0.0538 0.1557 0.1622 0.168 0.1008 37 0.0668 0.0735 0.0804 0.0146 0.0044 0.0174 0.0206 0.0872 0.094 38 0.0241 0.0278 0.0319 0.0118 0.0055 0.0068 0.0362 0.0407 0.0455 0.0083 0.0099 0.0504 39 0.0011 0.0015 0.0019 0.0139 0.0163 0.0188 0.0216 0.0081 40 0.0025 0.0031 0.0038 0.0047 0.0014 0.0003 0.0004 0.0005 0.0057 0.0068 41 0.0007 0.0009 0.0011 10 0.0001 0.0018 0.0001 0.0001 0.0002 0.0022 0.0027 0.0002 0.0003 0.0004 0.0005 0.0006 0.0008 00001 0001 Ready
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