If the probability that a fluorescent light has a useful life of at least 750 hours is 0.6, find the probabilities among 18 such lights (a) exactly 15 will have a useful life of at least 750 hours, (b) at least 13 will have a useful life of at least 750 hours, and (c) at least 2 will not have a useful life of at least 750 hours
If the probability that a fluorescent light has a useful life of at least 750 hours is 0.6, find the probabilities among 18 such lights (a) exactly 15 will have a useful life of at least 750 hours, (b) at least 13 will have a useful life of at least 750 hours, and (c) at least 2 will not have a useful life of at least 750 hours
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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100%
If the
Transcribed Image Text:Table A.1 (continued) Binomial Probability Sums b(x;n, p)
n T 0.10 0.20 0.25 0.30
0.40 0.50 0.60
17 0 0.1668 0.0225 0.0075 0.0023 0.0002 0.0000
0.4818 0.1182 0.0501 0.0193 0.0021 0.0001 0.0000
0.0123 0.0012 0.0001
1
2 0.7618 0.3096 0.1637
0.0774
3
0.2019 0.0464 0.0064 0.0005 0.0000
0.3887 0.1260 0.0245 0.0025 0.0001
0.5739
8
1.0000
9
10
0.9174 0.5489 0.3530
4 0.9779 0.7582
5 0.9953 0.8943 0.7653 0.5968 0.2639 0.0717 0.0106 0.0007 0.0000
6 0.9992 0.9623 0.8929 0.7752 0.4478 0.1662 0.0348 0.0032 0.0001
7 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 0.5000 0.1989 0.0403 0.0026 0.0000
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
1.0000 0.9999 0.9993 0.9894 0.9283 0.7361 0.4032 0.1057 0.0047
1.0000
0.8740 0.6113 0.2418 0.0221
0.9536 0.7981 0.4511 0.0826
0.9877 0.9226 0.6904 0.2382
0.9979 0.9807 0.8818 0.5182
0.9998 0.9977 0.9775 0.8332
1.0000 1.0000 1.0000
0.9999
1.0000
0.9975 0.9755
0.9995 0.9936
0.9999 0.9988
1.0000 0.9999
1.0000
1.0000
11
12
n
13
14
15
16
17
18 0
10
11
12
13
14
15
16
17
18
0.1501
0.0180 0.0056 0.0016
0.0001
1 0.4503 0.0991 0.0395 0.0142 0.0013
2 0.7338 0.2713
0.0600 0.0082 0.0007
0.0000
3
5
6 0.9988
0.0000
7 0.9998
1.0000
8
0.1353
0.9018 0.5010 0.3057 0.1646 0.0328 0.0038 0.0002
0.9718 0.7164 0.5187 0.3327 0.0942 0.0154 0.0013 0.0000
0.9936 0.8671 0.7175 0.5344 0.2088 0.0481 0.0058 0.0003
0.9487 0.8610 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 0.0210 0.0009
0.9991 0.9946 0.9790 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
1.0000 0.9998 0.9986 0.9797 0.8811 0.6257 0.2783 0.0513 0.0012
0.9942 0.9519 0.7912 0.4656 0.1329 0.0064
0.9987 0.9846 0.9058 0.6673 0.2836 0.0282
0.9998 0.9962 0.9672 0.8354 0.4990 0.0982
1.0000
9
0.0000
0.0002
1.0000 0.9997
1.0000
0.9993 0.9918 0.9400 0.7287 0.2662
0.9999 0.9987 0.9858 0.9009 0.5497
1.0000 0.9999 0.9984 0.9820
0.8499
1.0000 1.0000 1.0000
1.0000
0.60 0.70 0.80
0.90
P 0.10
0.20 0.25
P
0.30
0.40
0.0000
0.0001
Р
0.70
0.80
0.50
0.90
Transcribed Image Text:Table A.1 (continued) Binomial Probability Sums (a; n, p)
20
0.25 0.30
0.40
N p 0.10 0.20
19 0 0.1351 0.0144 0.0042 0.0011 0.0001
1
0.0310 0.0104 0.0008 0.0000
0.4203 0.0829
2 0.7054 0.2369 0.1113 0.0462 0.0055 0.0004
0.8850
0.2631 0.1332 0.0230 0.0022 0.0001
0.0000
3
0.4551
4
0.6733 0.4654 0.2822 0.0696 0.0096 0.0006 0.0000
0.6678
0.4739 0.1629 0.0318 0.0031 0.0001
0.8251
0.6655 0.3081 0.0835 0.0116 0.0006
0.9225
0.8180 0.4878 0.1796 0.0352 0.0028 0.0000
0.9713
0.9161 0.6675
0.3238 0.0885 0.0105 0.0003
0.0839 0.0067 0.0000
0.9911 0.9674 0.8139 0.5000 0.1861 0.0326 0.0016
0.9977 0.9895 0.9115 0.6762 0.3325
0.9995 0.9972 0.9648 0.8204 0.5122 0.1820 0.0233 0.0003
0.9999 0.9994 0.9884 0.9165 0.6919 0.3345 0.0676 0.0017
1.0000 0.9999 0.9969 0.9682 0.8371 0.5261 0.1631 0.0086
1.0000 0.9994 0.9904 0.9304 0.7178 0.3267 0.0352
0.9999 0.9978 0.9770 0.8668 0.5449 0.1150
0.9996 0.9945 0.9538 0.7631 0.2946
1.0000 0.9992 0.9896 0.9171 0.5797
0.9999 0.9989 0.9856 0.8649
1.0000 1.0000 1.0000 1.0000
1.0000
n
0.9648
5 0.9914 0.8369
6 0.9983
0.9997
1.0000
7
8
9
10
11
12
13
14
15
16
17
18
19
0
1
2
3
10
11
12
13
14
15
16
17
18
19
20
g
0.9324
0.9767
0.9933
0.10
0.9984
0.9997
1.0000
0.1216 0.0115 0.0032
0.0008
0.0000
0.0692 0.0243 0.0076 0.0005
0.0000
0.3917
0.6769 0.2061 0.0913
0.0355 0.0036
0.0002
0.8670 0.4114 0.2252 0.1071 0.0160 0.0013 0.0000
0.9568 0.6296 0.4148 0.2375 0.0510 0.0059 0.0003
5 0.9887 0.8042 0.6172
6 0.9976 0.9133 0.7858
7
8
0.4164 0.1256 0.0207 0.0016 0.0000
0.6080 0.2500 0.0577 0.0065 0.0003
0.9996 0.9679 0.8982 0.7723 0.4159 0.1316 0.0210 0.0013 0.0000
0.9999 0.9900 0.9591 0.8867 0.5956 0.2517 0.0565 0.0051 0.0001
9 1.0000 0.9974 0.9861 0.9520 0.7553 0.4119 0.1275 0.0171 0.0006
0.9994 0.9961 0.9829 0.8725 0.5881 0.2447 0.0480 0.0026 0.0000
0.9999 0.9991 0.9949 0.9435 0.7483 0.4041 0.1133 0.0100 0.0001
1.0000 0.9998 0.9987 0.9790 0.8684 0.5841 0.2277 0.0321 0.0004
1.0000 0.9997 0.9935 0.9423 0.7500 0.3920
1.0000 0.9984 0.9793 0.8744 0.5836
0.9997 0.9941 0.9490 0.7625 0.3704 0.0432
1.0000 0.9987 0.9840 0.8929 0.5886 0.1330
0.0867
0.0024
0.1958 0.0113
T=0
0.20
0.25 0.30
P
0.40
0.50
Р
0.60
0.50
0.70
0.80
0.60
0.9998 0.9964 0.9645 0.7939
1.0000 0.9995 0.9924 0.9308
1.0000
0.90
0.3231
0.6083
0.9992 0.9885 0.8784
1.0000 1.0000
1.0000
0.70 0.80 0.90
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