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.)
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.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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.)
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.)
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
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