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70% of all new-car purchases by families. Suppose five families have decided to buy a new car. a. What is the probability that in exactly two of the five families the husband will exert the primary influence in choosing the make of a car? b. What is the probability that the husband will select the make of car in all five families?

70% of all new-car purchases by families. Suppose five families have decided to buy a new car. a. What is the probability that in exactly two of the five families the husband will exert the primary influence in choosing the make of a car? b. What is the probability that the husband will select the make of car in all five families?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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2. A study concerning the relative influence of husbands and wives in consumer
purchasing, which appeared in recent issue of Time Magazine, reported that
husband exerts the primary influence in selecting the make of a new automobile
in about 70% of all new-car purchases by families. Suppose five families have
decided to buy a new car.


a. What is the probability that in exactly two of the five families the husband
will exert the primary influence in choosing the make of a car?
b. What is the probability that the husband will select the make of car in all five
families?
c. What is the probability that the husband will exert the primary influence in
choosing the make of a car in at least three of the five families? Use Binomial Table given
below. 

 

 

 

Tabulated values are P(X < k) = Ep(x,). (Values are rounded to four decimal places.) X=0 n = 5 k 0.01 0.05 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.75 0.80 0.90 0.95 0.99 0.9510 0.7738 0.5905 0.3277 0.2373 0.1681 0.0778 0.0313 0.0102 0.0024 0.0010 0.0003 0.0000 0.0000 0.0000 1 0.9990 0.9774 0.9185 0.7373 0.6328 0.5282 0.3370 0.1875 0.0870 0.0308 0.0156 0.0067 0.0005 0.0000 0.0000 1.0000 0.9988 0.9914 0.9421 0.8965 0.8369 0.6826 0.5000 0.3174 0.1631 0.1035 0.0579 0.0086 0.0012 0.0000 1.0000 1.0000 0.9995 0.9933 0.9844 0.9692 0.9130 0.8125 0.6630 0.4718 0.3672 0.2627 0.0815 0.0226 0.0010 1.0000 1.0000 1.0000 0.9997 0.9990 0.9976 0.9898 0.9688 0.9222 0.8319 0.7627 0.6723 0.4095 0.2262 0.0490 n = 6 k 0.01 0.05 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.75 0.80 0.90 0.95 0.99 0.9415 0.7351 0.5314 0.2621 0.1780 0.1176 0.0467 0.0156 0.0041 0.0007 0.0002 0.0001 0.0000 0.0000 0.0000 1 0.9985 0.9672 0.8857 0.6554 0.5339 0.4202 0.2333 0.1094 0.0410 0.0109 0.0046 0.0016 0.0001 0.0000 0.0000 1.0000 0.9978 0.9842 0.9011 0.8306 0.7443 0.5443 0.3438 0.1792 0.0705 0.0376 0.0170 0.0013 0.0001 0.0000 1.0000 0.9999 0.9987 0.9830 0.9624 0.9295 0.8208 0.6563 0.4557 0.2557 0.1694 0.0989 0.0159 0.0022 0.0000 4 1.0000 1.0000 0.9999 0.9984 0.9954 0.9891 0.9590 0.8906 0.7667 0.5798 0.4661 0.3446 0.1143 0.0328 0.0015 1.0000 1.0000 1.0000 0.9999 0.9998 0.9993 0.9959 0.9844 0.9533 0.8824 0.8220 0.7379 0.4686 0.2649 0.0585 n = 7 k 0.01 0.05 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.75 0.80 0.90 0.95 0.99 0.9321 0.6983 0.4783 0.2097 0.1335 0.0824 0.0280 0.0078 0.0016 0.0002 0.0001 0.0000 0.0000 0.0000 0.0000 1 0.9980 0.9556 0.8503 0.5767 0.4449 0.3294 0.1586 0.0625 0.0188 0.0038 0.0013 0.0004 0.0000 0.0000 0.0000 1.0000 0.9962 0.9743 0.8520 0.7564 0.6471 0.4199 0.2266 0.0963 0.0288 0.0129 0.0047 0.0002 0.0000 0.0000 1.0000 0.9998 0.9973 0.9667 0.9294 0.8740 0.7102 0.5000 0.2898 0.1260 0.0706 0.0333 0.0027 0.0002 0.0000 1.0000 1.0000 0.9998 0.9953 0.9871 0.9712 0.9037 0.7734 0.5801 0.3529 0.2436 0.1480 0.0257 0.0038 0.0000 1.0000 1.0000 1.0000 0.9996 0.9987 0.9962 0.9812 0.9375 0.8414 0.6706 0.5551 0.4233 0.1497 0.0444 0.0020 1.0000 1.0000 1.0000 1.0000 0.9999 0.9998 0.9984 0.9922 0.9720 0.9176 0.8665 0.7903 0.5217 0.3017 0.0679 (Continued) 6.
Transcribed Image Text:Tabulated values are P(X < k) = Ep(x,). (Values are rounded to four decimal places.) X=0 n = 5 k 0.01 0.05 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.75 0.80 0.90 0.95 0.99 0.9510 0.7738 0.5905 0.3277 0.2373 0.1681 0.0778 0.0313 0.0102 0.0024 0.0010 0.0003 0.0000 0.0000 0.0000 1 0.9990 0.9774 0.9185 0.7373 0.6328 0.5282 0.3370 0.1875 0.0870 0.0308 0.0156 0.0067 0.0005 0.0000 0.0000 1.0000 0.9988 0.9914 0.9421 0.8965 0.8369 0.6826 0.5000 0.3174 0.1631 0.1035 0.0579 0.0086 0.0012 0.0000 1.0000 1.0000 0.9995 0.9933 0.9844 0.9692 0.9130 0.8125 0.6630 0.4718 0.3672 0.2627 0.0815 0.0226 0.0010 1.0000 1.0000 1.0000 0.9997 0.9990 0.9976 0.9898 0.9688 0.9222 0.8319 0.7627 0.6723 0.4095 0.2262 0.0490 n = 6 k 0.01 0.05 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.75 0.80 0.90 0.95 0.99 0.9415 0.7351 0.5314 0.2621 0.1780 0.1176 0.0467 0.0156 0.0041 0.0007 0.0002 0.0001 0.0000 0.0000 0.0000 1 0.9985 0.9672 0.8857 0.6554 0.5339 0.4202 0.2333 0.1094 0.0410 0.0109 0.0046 0.0016 0.0001 0.0000 0.0000 1.0000 0.9978 0.9842 0.9011 0.8306 0.7443 0.5443 0.3438 0.1792 0.0705 0.0376 0.0170 0.0013 0.0001 0.0000 1.0000 0.9999 0.9987 0.9830 0.9624 0.9295 0.8208 0.6563 0.4557 0.2557 0.1694 0.0989 0.0159 0.0022 0.0000 4 1.0000 1.0000 0.9999 0.9984 0.9954 0.9891 0.9590 0.8906 0.7667 0.5798 0.4661 0.3446 0.1143 0.0328 0.0015 1.0000 1.0000 1.0000 0.9999 0.9998 0.9993 0.9959 0.9844 0.9533 0.8824 0.8220 0.7379 0.4686 0.2649 0.0585 n = 7 k 0.01 0.05 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.75 0.80 0.90 0.95 0.99 0.9321 0.6983 0.4783 0.2097 0.1335 0.0824 0.0280 0.0078 0.0016 0.0002 0.0001 0.0000 0.0000 0.0000 0.0000 1 0.9980 0.9556 0.8503 0.5767 0.4449 0.3294 0.1586 0.0625 0.0188 0.0038 0.0013 0.0004 0.0000 0.0000 0.0000 1.0000 0.9962 0.9743 0.8520 0.7564 0.6471 0.4199 0.2266 0.0963 0.0288 0.0129 0.0047 0.0002 0.0000 0.0000 1.0000 0.9998 0.9973 0.9667 0.9294 0.8740 0.7102 0.5000 0.2898 0.1260 0.0706 0.0333 0.0027 0.0002 0.0000 1.0000 1.0000 0.9998 0.9953 0.9871 0.9712 0.9037 0.7734 0.5801 0.3529 0.2436 0.1480 0.0257 0.0038 0.0000 1.0000 1.0000 1.0000 0.9996 0.9987 0.9962 0.9812 0.9375 0.8414 0.6706 0.5551 0.4233 0.1497 0.0444 0.0020 1.0000 1.0000 1.0000 1.0000 0.9999 0.9998 0.9984 0.9922 0.9720 0.9176 0.8665 0.7903 0.5217 0.3017 0.0679 (Continued) 6.
n = 8 k 0.01 0.05 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.75 0.80 0.90 0.95 0.99 0.9227 0.6634 0.4305 0.1678 0.1001 0.0576 0.0168 0.0039 0.0007 0.0001 0.0000 0.0000 0.0000 0.0000 0.0000 1 0.9973 0.9428 0.8131 0.5033 0.3671 0.2553 0.1064 0.0352 0.0085 0.0013 0.0004 0.0001 0.0000 0.0000 0.0000 0.9999 0.9942 0.9619 0.7969 0.6785 0.5518 0.3154 0.1445 0.0498 0.0113 0.0042 0.0012 0.0000 0.0000 0.0000 1.0000 0.9996 0.9950 0.9437 0.8862 0.8059 0.5941 0.3633 0.1737 0.0580 0.0273 0.0104 0.0004 0.0000 0.0000 4 1.0000 1.0000 0.9996 0.9896 0.9727 0.9420 0.8263 0.6367 0.4059 0.1941 0.1138 0.0563 0.0050 0.0004 0.0000 1.0000 1.0000 1.0000 0.9988 0.9958 0.9887 0.9502 0.8555 0.6846 0.4482 0.3215 0.2031 0.0381 0.0058 0.0001 6 1.0000 1.0000 1.0000 0.9999 0.9996 0.9987 0.9915 0.9648 0.8936 0.7447 0.6329 0.4967 0.1869 0.0572 0.0027 7 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9993 0.9961 0.9832 0.9424 0.8999 0.8322 0.5695 0.3366 0.0773 n = 9 k 0.01 0.05 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.75 0.80 0.90 0.95 0.99 0.9135 0.6302 0.3874 0.1342 0.0751 0.0404 0.0101 0.0020 0.0003 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 1 0.9966 0.9288 0.7748 0.4362 0.3003 0.1960 0.0705 0.0195 0.0038 0.0004 0.0001 0.0000 0.0000 0.0000 0.0000 0.9999 0.9916 0.9470 0.7382 0.6007 0.4628 0.2318 0.0898 0.0250 0.0043 0.0013 0.0003 0.0000 0.0000 0.0000 3 1.0000 0.9994 0.9917 0.9144 0.8343 0.7297 0.4826 0.2539 0.0994 0.0253 0.0100 0.0031 0.0001 0.0000 0.0000 4 1.0000 1.0000 0.9991 0.9804 0.9511 0.9012 0.7334 0.5000 0.2666 0.0988 0.0489 0.0196 0.0009 0.0000 0.0000 1.0000 1.0000 0.9999 0.9969 0.9900 0.9747 0.9006 0.7461 0.5174 0.2703 0.1657 0.0856 0.0083 0.0006 0.0000 1.0000 1.0000 1.0000 0.9997 0.9987 0.9957 0.9750 0.9102 0.7682 0.5372 0.3993 0.2618 0.0530 0.0084 0.0001 7 1.0000 1.0000 1.0000 1.0000 0.9999 0.9996 0.9962 0.9805 0.9295 0.8040 0.6997 0.5638 0.2252 0.0712 0.0034 8 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9997 0.9980 0.9899 0.9596 0.9249 0.8658 0.6126 0.3698 0.0865
Transcribed Image Text:n = 8 k 0.01 0.05 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.75 0.80 0.90 0.95 0.99 0.9227 0.6634 0.4305 0.1678 0.1001 0.0576 0.0168 0.0039 0.0007 0.0001 0.0000 0.0000 0.0000 0.0000 0.0000 1 0.9973 0.9428 0.8131 0.5033 0.3671 0.2553 0.1064 0.0352 0.0085 0.0013 0.0004 0.0001 0.0000 0.0000 0.0000 0.9999 0.9942 0.9619 0.7969 0.6785 0.5518 0.3154 0.1445 0.0498 0.0113 0.0042 0.0012 0.0000 0.0000 0.0000 1.0000 0.9996 0.9950 0.9437 0.8862 0.8059 0.5941 0.3633 0.1737 0.0580 0.0273 0.0104 0.0004 0.0000 0.0000 4 1.0000 1.0000 0.9996 0.9896 0.9727 0.9420 0.8263 0.6367 0.4059 0.1941 0.1138 0.0563 0.0050 0.0004 0.0000 1.0000 1.0000 1.0000 0.9988 0.9958 0.9887 0.9502 0.8555 0.6846 0.4482 0.3215 0.2031 0.0381 0.0058 0.0001 6 1.0000 1.0000 1.0000 0.9999 0.9996 0.9987 0.9915 0.9648 0.8936 0.7447 0.6329 0.4967 0.1869 0.0572 0.0027 7 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9993 0.9961 0.9832 0.9424 0.8999 0.8322 0.5695 0.3366 0.0773 n = 9 k 0.01 0.05 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.75 0.80 0.90 0.95 0.99 0.9135 0.6302 0.3874 0.1342 0.0751 0.0404 0.0101 0.0020 0.0003 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 1 0.9966 0.9288 0.7748 0.4362 0.3003 0.1960 0.0705 0.0195 0.0038 0.0004 0.0001 0.0000 0.0000 0.0000 0.0000 0.9999 0.9916 0.9470 0.7382 0.6007 0.4628 0.2318 0.0898 0.0250 0.0043 0.0013 0.0003 0.0000 0.0000 0.0000 3 1.0000 0.9994 0.9917 0.9144 0.8343 0.7297 0.4826 0.2539 0.0994 0.0253 0.0100 0.0031 0.0001 0.0000 0.0000 4 1.0000 1.0000 0.9991 0.9804 0.9511 0.9012 0.7334 0.5000 0.2666 0.0988 0.0489 0.0196 0.0009 0.0000 0.0000 1.0000 1.0000 0.9999 0.9969 0.9900 0.9747 0.9006 0.7461 0.5174 0.2703 0.1657 0.0856 0.0083 0.0006 0.0000 1.0000 1.0000 1.0000 0.9997 0.9987 0.9957 0.9750 0.9102 0.7682 0.5372 0.3993 0.2618 0.0530 0.0084 0.0001 7 1.0000 1.0000 1.0000 1.0000 0.9999 0.9996 0.9962 0.9805 0.9295 0.8040 0.6997 0.5638 0.2252 0.0712 0.0034 8 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9997 0.9980 0.9899 0.9596 0.9249 0.8658 0.6126 0.3698 0.0865
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