According to Chemical Engineering Progress (November 1990), approximately 30% of all pipework failures in chemical plants are caused by operator error. Complete parts (a) through (c). Click here to view page 1 of the table of binomial probability sums. Click here to view page 2 of the table of binomial probability sums. (a) What is the probability that out of the next 20 pipework failures at least 10 are due to operator error? The probability is (Round to four decimal places as needed.) (b) What is the probability that no more than 4 out of 20 such failures are due to operator error? The probability is (Round to four decimal places as needed.) (c) Suppose, for a particular plant, that out of the random sample of 20 such failures, exactly 7 are due to operator error. Do you feel that the 30% figure stated above applies to this plant? Explain. If 30% of all pipework failures in the chemical plant were caused by operator error, then the probability that exactly of the failures in the sample are due to operator error would be. Since this probability is than 0.05, th reasonable. a rare event. The 30% figure (Round to four decimal places as needed.)
According to Chemical Engineering Progress (November 1990), approximately 30% of all pipework failures in chemical plants are caused by operator error. Complete parts (a) through (c). Click here to view page 1 of the table of binomial probability sums. Click here to view page 2 of the table of binomial probability sums. (a) What is the probability that out of the next 20 pipework failures at least 10 are due to operator error? The probability is (Round to four decimal places as needed.) (b) What is the probability that no more than 4 out of 20 such failures are due to operator error? The probability is (Round to four decimal places as needed.) (c) Suppose, for a particular plant, that out of the random sample of 20 such failures, exactly 7 are due to operator error. Do you feel that the 30% figure stated above applies to this plant? Explain. If 30% of all pipework failures in the chemical plant were caused by operator error, then the probability that exactly of the failures in the sample are due to operator error would be. Since this probability is than 0.05, th reasonable. a rare event. The 30% figure (Round to four decimal places as needed.)
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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I need help with this very soon please.
If 30% of all pipework failures in the chemical plant were caused by operator error, then the
7 of the failures in the sample are due to operator error would be_______. Since the probability is (greater or less) than 0.05, this ( is or is not) a rare event . The 30% figure (seems or does not seem) reasonable.
(Round to four decimal places)
Transcribed Image Text:According to Chemical Engineering Progress (November 1990), approximately 30% of all pipework failures in
chemical plants are caused by operator error. Complete parts (a) through (c).
Click here to view page 1 of the table of binomial probability sums.
Click here to view page 2 of the table of binomial probability sums.
(a) What is the probability that out of the next 20 pipework failures at least 10 are due to operator error?
The probability is
(Round to four decimal places as needed.)
(b) What is the probability that no more than 4 out of 20 such failures are due to operator error?
The probability is
(Round to four decimal places as needed.)
(c) Suppose, for a particular plant, that out of the random sample of 20 such failures, exactly 7 are due to operator
error. Do you feel that the 30% figure stated above applies to this plant? Explain.
If 30% of all pipework failures in the chemical plant were caused by operator error, then the probability that exactly 7
of the failures in the sample are due to operator error would be Since this probability is
than 0.05, this
reasonable.
a rare event. The 30% figure
(Round to four decimal places as needed.)
Transcribed Image Text:Binomial Probability Sums
n
n
17
18
0.1
0.3
0.25
0.2
0.1668 0.0225 0.0075 0.0023
0.4
0.0002
0.4818 0.1182 0.0501
0.0193 0.0021 0.0001
4 0.9779 0.7582 0.5739
5 0.9953 0.8943 0.7653
1
0.7618 0.3096 0.1637 0.0774
0.0012
0.0123
0.0001
0.5489
0.9174
0.353 0.2019 0.0464 0.0064 0.0005
0.3887 0.126 0.0245 0.0025 0.0001
0.5968 0.2639 0.0717 0.0106 0.0007
0.9992 0.9623 0.8929 0.7752 0.4478 0.1662 0.0348 0.0032 0.0001
0.9999 0.9891 0.9598 0.8954 0.6405 0.3145 0.0919 0.0127 0.0005
0.9974 0.9876 0.9597 0.8011 0.5 0.1989 0.0403 0.0026
0.9995 0.9969 0.9873 0.9081 0.6855 0.3595 0.1046 0.0109 0.0001
0.9999 0.9994 0.9968 0.9652 0.8338 0.5522 0.2248 0.0377 0.0008
1 0.9999 0.9993 0.9894 0.9283 0.7361 0.4032 0.1057 0.0047
1 0.9999 0.9975 0.9755 0.874 0.6113 0.2418 0.0221
0.9995 0.9936 0.9536 0.7981 0.4511 0.0826
0.9988
0.9999
0.9877 0.9226 0.6904 0.2382
0.9999 0.9979
0.8818
0.9807
0.5182
1 0.9998 0.9977 0.9775
1
1
0.8332
0
1
2
3
6
7
8
9
10
11
12
13
14
15
16
17
7
o
8
P
0
9
10
11
12
13
14
15
16
17
18
p
0.1
0.2
0.25
0.3
0.5
0
0.4
0.6
0
0
0.5
1
0
0
0
0.7
0.6
0
0
0
0
1
0
0
0
0
0
0.8
0
0
0.1501
0.018 0.0056
0.0016 0.0001
0
1 0.4503 0.0991 0.0395
0.0142 0.0013 0.0001
2
3 0.9018 0.501
0.7338 0.2713 0.1353 0.06
0.3057 0.1646
0.5187 0.3327
4 0.9718 0.7164
6 0.9988
0.9998
1
0.0082 0.0007
0.0328 0.0038 0.0002
0.0942 0.0154 0.0013
5 0.9936 0.8671 0.7175 0.5344 0.2088 0.0481 0.0058 0.0003
0.9487
0.861 0.7217 0.3743 0.1189 0.0203 0.0014
0.9837 0.9431 0.8593 0.5634 0.2403 0.0576 0.0061 0.0002
0.9957 0.9807 0.9404
0.7368 0.4073 0.1347 0.021 0.0009
0.9991 0.9946 0.979 0.8653 0.5927 0.2632 0.0596 0.0043
0.9998 0.9988 0.9939 0.9424 0.7597 0.4366 0.1407 0.0163
0.9998 0.9986 0.9797 0.8811 0.6257 0.2783 0.0513
1 0.9997 0.9942 0.9519 0.7912 0.4656 0.1329 0.0064
1
0.9987
0.9846 0.9058 0.6673 0.2836 0.0282
0.9998 0.9962 0.9672 0.8354 0.499 0.0982
0.9993 0.9918
0.9999
0.0002
1
0.0012
1
0.94 0.7287 0.2662
0.9987 0.9858 0.9009 0.5497
0.9999 0.9984 0.982 0.8499
1
1
1
1
1
0.7
0
0
0
0
0
1
0
0
0
0
0
0
0
0.9
0
0.8
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0.9
1 Binomial Probability Sums
2
3 n
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
24
34
35
36
37
=
38
=
39
40
41
42
7
43
44
45
46 n
47
19
20
r
r
9
10
11
21
0
1
2
3
4
5
6
7 0.9997
8
1
12
22
13
20
14
27
15
2
16
20
17
18
20
19
1
2
3
4
5
6
7
8
0 0.1216 0.0115 0.0032
=
9
75
10
7
P
11
12
13
14
15
16
17
18
19
20
0.1
0.25
0.3
0.4
0.2
0.1351 0.0144 0.0042 0.0011 0.0001
0.0008
0
0.4203 0.0829 0.031 0.0104
0.7054 0.2369 0.1113 0.0462
0.0055 0.0004
0.0095
0.885
0.003 0.4551 0.2631 0.1332 0.023 0.0022
0.029
0:00
0.1554
0.0696
0
0:3024 0:0231
0.9767
0:3707 0.9225
0:3430 0.818 0.4878
0.0006
0.0028
0.0105
0
0.0105
10:3074
0
0.0001
0.2822
0.0006
0.0050 0.0096
0.2622
0.4739 0.1629 0.0318 0.0031 0.0001
0:4700
wwwwwww
0.1023 0.0010
0.6655
0.8251
0.3081 0.0835 0.0116
0.0000 0.0001 0.0093 0.0110
0.0352
0.1796
0.010 0:1019 0:1750 0.0004
0.9933 0.9713 0.9161 0.6675 0.3238 0.0885
0.3230
Deve www
0.0003
v.word
0.9984 0.9911 0.9674 0.8139
0.5 0.1861 0.0326
0.0520
geest
0.0016
0.9997 0.9977 0.9895
0.9693 0.9115 0.6762
0.0839 0.0067
0.3325
0
w.www 0:0702 0.3923 w.wwww 0.0067
1 0.9995 0.9972 0.9648 0.8204 0.5122
0.0204
0.182 0.0233 0.0003
AJUTO
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0.0299
0.9999 0.9994 0.9884 0.9165 0.6919
0:9100
0.3345 0.0676 0.0017
0.3004
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1 0.9999 0.9969 0.9682 0.8371 0.5261 0.1631 0.0086
0:3004 0.0012
1 0.9994 0.9904 0.9304
0.0352
0:3004
0.9999 0.9978
0.9996
1
1
0:3201 0.1002
0.7178 0.3267
www
0.977 0.8668 0.5449
0:377 0.0000
0.9945
0.7631
0.9538
0.9992 0.9896 0.9171
0.115
0.115
3.3445
0.2946
0.5797
0.9999 0.9989 0.9856 0.8649
ID
Р
0.9640
0.9648 0.6733 0.4654
0.000 0:4004
0.9914 0.8369 0.6678
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0.9983 0.9324
0.0008
0
0.3917 0.0692 0.0243 0.0076 0.0005
0.6769 0.2061
0.0913 0.0355 0.0036 0.0002
0.867 0.4114 0.2252 0.1071 0.016 0.0013
0.9568 0.6296
0.9500
0.4148 0.2375
0.9887 0.8042
0.6172 0.4164 0.1256 0.0207
MODE
7050
0.9976 0.9133 0.7858 0.608
0.9996 0.9679 0.8982 0.7723 0.4159
:::
0.9999 0.99 0.9591 0.8867 0.5956
1 0.9974 0.9861
0.9994 0.9961
0.9991
0.9998
1
0.9999
1
0.1
0.2
0.25
0.5
0.3
0
0.4
0
0.6
0.5
7
1
0
0
이
0
0.7
0.6
1
-
0
0
0
0
2
0
0
0.8
0.7
1
=
0
=
0
2
0
9
0
5
0
4
0
0.051 0.0059 0.0003
0.0016
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0.0003
0.0013
0.25 0.0577 0.0065
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0.1316 0.021
0.2517 0.0565 0.0051 0.0001
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0.048 0.0026
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0.1133 0.01
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0.952 0.7553 0.4119 0.1275
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0.9829 0.8725 0.5881 0.2447
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0.9949 0.9435 0.7483 0.4044
0.5841
0.9987 0.979 0.8684
0.9935 0.9423
0.9997
0.75
1 0.9984 0.9793 0.8744 0.5836
0.9997 0.9941 0.949 0.7625 0.3704 0.0432
1 0.9987 0.984 0.8929 0.5886 0.133
0.9998 0.9964 0.9645 0.7939 0.3231
0.9995 0.9924 0.9308 0.6083
1 0.9992 0.9885 0.8784
0.0001
0.2277 0.0321 0.0004
Cicer
0.392
0.0024
0.0867
DEA
0.1958 0.0113
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***
1
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9
9
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0
2
0
2
0
9
0
0
0
0
-
0
-
0
0.9
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Step 1: Define the given data
VIEWStep 2: Obtain the probability that out of the next 20 pipework failures at least 10 due to operator error
VIEWStep 3: Obtain the probability that no more than 4 out of 20 such failures due to operator error.
VIEWStep 4: Obtain the probability that exactly 7 of such failures are due to operator error
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