Homework Help is Here – Start Your Trial Now!
Math
Probability
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)
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...
See similar textbooks
icon
Related questions
Question
100%

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

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 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
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
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
Expert Solution
steps

Step by step

Solved in 4 steps with 6 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON
SEE MORE TEXTBOOKS