In testing a certain kind or truck tire over rugged​ terrain, it is found that 40​% of the trucks fail to complete the test run without a blowout. Of the next 12 trucks​ tested, find the probability that​ (a) from 33 to 6 have​ blowouts, (b) fewer than 4 have​ blowouts, and​ (c) more than 5 have blowouts.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
icon
Related questions
Question
100%

In testing a certain kind or truck tire over rugged​ terrain, it is found that 40​% of the trucks fail to complete the test run without a blowout. Of the next 12 trucks​ tested, find the probability that​ (a) from 33 to 6 have​ blowouts, (b) fewer than 4 have​ blowouts, and​ (c) more than 5 have blowouts.

n
A
15
16
r
B
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
р
с
0.1
0.2059
0.549
0.8159
0.9444
0.9873
0.9978
0.9997
1
D
E
F
0.2
0.25
0.3
0.0352
0.0134
0.0047
0.1671
0.0802
0.0353
0.398 0.2361
0.1268
0.6482 0.4613
0.2969
0.8358 0.6865 0.5155
0.9389 0.8516 0.7216
0.9819 0.9434 0.8689
0.9958 0.9827
0.95
0.9992 0.9958 0.9848
0.9999 0.9992 0.9963
1 0.9999 0.9993
0.9999
1
1
G
H
0.5
0
0.4
0.0005
0.0052
0.0005
0
0.0271 0.0037 0.0003
0
0.0905
0.0176 0.0019
0.0001
0.2173
0.0592 0.0093
0.0007
0.4032
0.1509 0.0338
0.0037
0.6098
0.3036
0.095 0.0152
0.7869
0.5 0.2131
0.05
0.905 0.6964 0.3902 0.1311
0.9662 0.8491 0.5968 0.2784 0.0611
0.9907 0.9408 0.7827 0.4845 0.1642
0.9981 0.9824 0.9095 0.7031 0.3518
0.9997 0.9963 0.9729 0.8732 0.602
0.9995 0.9948 0.9647
1 0.9995 0.9953
1
0.8329
0.9648
1
1
1
0.6
0.0003
0
0.0003
0.7892
0.1853 0.0281 0.01 0.0033
0.5147 0.1407 0.0635 0.0261 0.0033
0.3518 0.1971 0.0994 0.0183 0.0021
0.9316 0.5981 0.405 0.2459 0.0651 0.0106
0.983 0.7982 0.6302 0.4499
0.9967 0.9183
0.8103 0.6598 0.3288 0.1051
0.9995 0.9733 0.9204 0.8247 0.5272
0.993 0.9729 0.9256 0.7161
0.9985 0.9925 0.9743 0.8577
0.1666 0.0384
0.9999
1
0.9998
0.9984
0.9929
0.9417
1
0.9997
0.9984
0.9809
1
0.9997
0.9951
1
0.9991
0.9999
1
J
0
0.0001
0.0009
0.0049
0.0191
0.2272 0.0583
0.4018 0.1423
0.5982 0.2839
0.7728 0.4728
0.8949
0.9616
0.9894 0.9349
0.9979 0.9817
0.9997 0.9967
1 0.9997
1
0.7
K
0.6712 0.3402
0.8334 0.5501
0.7541
0.8
0
0.0003
0.0016
0
0.0071
0.0002
0.0257
0.0015
0.0744
0.007
0.1753 0.0267
0.0817
0.2018
0.4019
0.9006 0.6482
0.9739 0.8593
0.9967 0.9719
1
1
0.9
0
0.0001
0.0008
0.0042
0
0.0181 0.0003
0.0022
0.0127
0.0556
0.1841
0.451
0.7941
1
0
0.0001
0.0005
0.0033
0.017
0.0684
0.2108
0.4853
0.8147
1
Transcribed Image Text:n A 15 16 r B 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 р с 0.1 0.2059 0.549 0.8159 0.9444 0.9873 0.9978 0.9997 1 D E F 0.2 0.25 0.3 0.0352 0.0134 0.0047 0.1671 0.0802 0.0353 0.398 0.2361 0.1268 0.6482 0.4613 0.2969 0.8358 0.6865 0.5155 0.9389 0.8516 0.7216 0.9819 0.9434 0.8689 0.9958 0.9827 0.95 0.9992 0.9958 0.9848 0.9999 0.9992 0.9963 1 0.9999 0.9993 0.9999 1 1 G H 0.5 0 0.4 0.0005 0.0052 0.0005 0 0.0271 0.0037 0.0003 0 0.0905 0.0176 0.0019 0.0001 0.2173 0.0592 0.0093 0.0007 0.4032 0.1509 0.0338 0.0037 0.6098 0.3036 0.095 0.0152 0.7869 0.5 0.2131 0.05 0.905 0.6964 0.3902 0.1311 0.9662 0.8491 0.5968 0.2784 0.0611 0.9907 0.9408 0.7827 0.4845 0.1642 0.9981 0.9824 0.9095 0.7031 0.3518 0.9997 0.9963 0.9729 0.8732 0.602 0.9995 0.9948 0.9647 1 0.9995 0.9953 1 0.8329 0.9648 1 1 1 0.6 0.0003 0 0.0003 0.7892 0.1853 0.0281 0.01 0.0033 0.5147 0.1407 0.0635 0.0261 0.0033 0.3518 0.1971 0.0994 0.0183 0.0021 0.9316 0.5981 0.405 0.2459 0.0651 0.0106 0.983 0.7982 0.6302 0.4499 0.9967 0.9183 0.8103 0.6598 0.3288 0.1051 0.9995 0.9733 0.9204 0.8247 0.5272 0.993 0.9729 0.9256 0.7161 0.9985 0.9925 0.9743 0.8577 0.1666 0.0384 0.9999 1 0.9998 0.9984 0.9929 0.9417 1 0.9997 0.9984 0.9809 1 0.9997 0.9951 1 0.9991 0.9999 1 J 0 0.0001 0.0009 0.0049 0.0191 0.2272 0.0583 0.4018 0.1423 0.5982 0.2839 0.7728 0.4728 0.8949 0.9616 0.9894 0.9349 0.9979 0.9817 0.9997 0.9967 1 0.9997 1 0.7 K 0.6712 0.3402 0.8334 0.5501 0.7541 0.8 0 0.0003 0.0016 0 0.0071 0.0002 0.0257 0.0015 0.0744 0.007 0.1753 0.0267 0.0817 0.2018 0.4019 0.9006 0.6482 0.9739 0.8593 0.9967 0.9719 1 1 0.9 0 0.0001 0.0008 0.0042 0 0.0181 0.0003 0.0022 0.0127 0.0556 0.1841 0.451 0.7941 1 0 0.0001 0.0005 0.0033 0.017 0.0684 0.2108 0.4853 0.8147 1
n
12
13
14
r
0
1
8
9
10
11
12
0
2
3 0.9744 0.7946
4
0.9957 0.9274
5
0.9995 0.9806
6
0.9999 0.9961
7
1
2
3
4
P
10
11
12
0.2
0.25
0.3
0.4
0.0687
0.0317
0.0138 0.0022
0.2749 0.1584 0.085 0.0196
13
14
0.1
0.2824
0.659
0.8891 0.5583 0.3907
0.5
0.0002
0.0032
0.2528 0.0834 0.0193
1
0.6488
0.8424
0.9456 0.8822
0.9857 0.9614
1 0.9994 0.9972 0.9905
0.9996
0.9999
1
0.2542 0.055
0.0238 0.0097
0.0013
0.2336
0.1267 0.0637
0.0126
0.6213
0.8661 0.5017
0.2025 0.0579
0.9658 0.7473
0.3326
0.5843 0.4206 0.1686
0.353
0.9935 0.9009
0.794 0.6543
0.9991
0.97
0.9198 0.8346
0.5744
0.9999
0.993
0.9757
0.9376
0.7712
1
0.9988 0.9944
0.9818
0.9023
0.9998
1
0.999
0.9999
1
0.996 0.9679
0.9993 0.9922
0.9999 0.9987
1 0.9999
1
0.6
0
0.4925 0.2253
0.7237 0.4382
0.1938 0.0573
0.6652 0.3872 0.1582
0.8418 0.6128 0.3348
0.9427 0.8062 0.5618
0.9983 0.9847 0.927 0.7747
0.9998 0.9972
1 0.9997
1
T
0.0003
0
0.0028 0.0002
0.7
0.073 0.0153
0
0.0017 0.0001
0.0006
0.0095
0.0386 0.0039
0.1178 0.0194
0.2763 0.0726
0.5075 0.2054
0.4417
0.9807 0.9166 0.7472
0.9968 0.9804 0.915 0.7251
0.9978 0.9862 0.9313
1
0.9998
1
1
1
0.0001
0
0.0017
0
0.0001
0.0112 0.0013 0.0001
0.0461 0.0078 0.0007
0.1334 0.0321 0.004
0.2905
0.8
0.9
0
0.0001
0.0005
0.0043
0.0256
0.1109
5
6
7
8
9
10
11
12
13
0 0.2288
0.044 0.0178
0.0068
0.0008 0.0001
1 0.5846
0.101 0.0475
0.0081 0.0009
0.0001
2
0.0398 0.0065
0.0006
0
3
4
0
5 0.9985
6
0.9998
0
7
1
0.1979
0.8416 0.4481 0.2811 0.1608
0.9559 0.6982 0.5213 0.3552 0.1243 0.0287 0.0039 0.0002
0.9908 0.8702 0.7415 0.5842 0.2793 0.0898 0.0175 0.0017
0.9561 0.8883 0.7805 0.4859 0.212 0.0583 0.0083 0.0004
0.9884 0.9617 0.9067 0.6925 0.3953 0.1501 0.0315 0.0024
0.9976 0.9897 0.9685 0.8499 0.6047 0.3075 0.0933 0.0116 0.0002
0.9996 0.9978 0.9917 0.9417 0.788 0.5141 0.2195 0.0439 0.0015
1 0.9997 0.9983 0.9825 0.9102 0.7207 0.4158 0.1298
1 0.9998 0.9961 0.9713 0.8757
0.9994 0.9935 0.9602
0.9999 0.9991 0.9919
0.9999 0.9992
1
1
8
9
0.0092
0.6448 0.3018
0.0441
1
0.8392 0.5519
0.1584
0.9525 0.8021
0.9932
1
0.4154
0.956 0.7712
1
1
1
0.341
0.7176
1
0
0.0002
0
0.0001
0.5
0.7095 0.4256
0.8666 0.647
0.0977 0.0182 0.0012
0.2288 0.0624 0.007
0.1654 0.03
0.3457 0.0991 0.0065
0.0342
0.0009
0.9539 0.8314
0.5794 0.2527
0.1339
0.3787
0.9888 0.9421 0.7975 0.4983
0.9983 0.9874 0.9363 0.7664
0.9999 0.9987 0.9903
0.945
1
1
0.7458
1
1
1
0
Transcribed Image Text:n 12 13 14 r 0 1 8 9 10 11 12 0 2 3 0.9744 0.7946 4 0.9957 0.9274 5 0.9995 0.9806 6 0.9999 0.9961 7 1 2 3 4 P 10 11 12 0.2 0.25 0.3 0.4 0.0687 0.0317 0.0138 0.0022 0.2749 0.1584 0.085 0.0196 13 14 0.1 0.2824 0.659 0.8891 0.5583 0.3907 0.5 0.0002 0.0032 0.2528 0.0834 0.0193 1 0.6488 0.8424 0.9456 0.8822 0.9857 0.9614 1 0.9994 0.9972 0.9905 0.9996 0.9999 1 0.2542 0.055 0.0238 0.0097 0.0013 0.2336 0.1267 0.0637 0.0126 0.6213 0.8661 0.5017 0.2025 0.0579 0.9658 0.7473 0.3326 0.5843 0.4206 0.1686 0.353 0.9935 0.9009 0.794 0.6543 0.9991 0.97 0.9198 0.8346 0.5744 0.9999 0.993 0.9757 0.9376 0.7712 1 0.9988 0.9944 0.9818 0.9023 0.9998 1 0.999 0.9999 1 0.996 0.9679 0.9993 0.9922 0.9999 0.9987 1 0.9999 1 0.6 0 0.4925 0.2253 0.7237 0.4382 0.1938 0.0573 0.6652 0.3872 0.1582 0.8418 0.6128 0.3348 0.9427 0.8062 0.5618 0.9983 0.9847 0.927 0.7747 0.9998 0.9972 1 0.9997 1 T 0.0003 0 0.0028 0.0002 0.7 0.073 0.0153 0 0.0017 0.0001 0.0006 0.0095 0.0386 0.0039 0.1178 0.0194 0.2763 0.0726 0.5075 0.2054 0.4417 0.9807 0.9166 0.7472 0.9968 0.9804 0.915 0.7251 0.9978 0.9862 0.9313 1 0.9998 1 1 1 0.0001 0 0.0017 0 0.0001 0.0112 0.0013 0.0001 0.0461 0.0078 0.0007 0.1334 0.0321 0.004 0.2905 0.8 0.9 0 0.0001 0.0005 0.0043 0.0256 0.1109 5 6 7 8 9 10 11 12 13 0 0.2288 0.044 0.0178 0.0068 0.0008 0.0001 1 0.5846 0.101 0.0475 0.0081 0.0009 0.0001 2 0.0398 0.0065 0.0006 0 3 4 0 5 0.9985 6 0.9998 0 7 1 0.1979 0.8416 0.4481 0.2811 0.1608 0.9559 0.6982 0.5213 0.3552 0.1243 0.0287 0.0039 0.0002 0.9908 0.8702 0.7415 0.5842 0.2793 0.0898 0.0175 0.0017 0.9561 0.8883 0.7805 0.4859 0.212 0.0583 0.0083 0.0004 0.9884 0.9617 0.9067 0.6925 0.3953 0.1501 0.0315 0.0024 0.9976 0.9897 0.9685 0.8499 0.6047 0.3075 0.0933 0.0116 0.0002 0.9996 0.9978 0.9917 0.9417 0.788 0.5141 0.2195 0.0439 0.0015 1 0.9997 0.9983 0.9825 0.9102 0.7207 0.4158 0.1298 1 0.9998 0.9961 0.9713 0.8757 0.9994 0.9935 0.9602 0.9999 0.9991 0.9919 0.9999 0.9992 1 1 8 9 0.0092 0.6448 0.3018 0.0441 1 0.8392 0.5519 0.1584 0.9525 0.8021 0.9932 1 0.4154 0.956 0.7712 1 1 1 0.341 0.7176 1 0 0.0002 0 0.0001 0.5 0.7095 0.4256 0.8666 0.647 0.0977 0.0182 0.0012 0.2288 0.0624 0.007 0.1654 0.03 0.3457 0.0991 0.0065 0.0342 0.0009 0.9539 0.8314 0.5794 0.2527 0.1339 0.3787 0.9888 0.9421 0.7975 0.4983 0.9983 0.9874 0.9363 0.7664 0.9999 0.9987 0.9903 0.945 1 1 0.7458 1 1 1 0
Expert Solution
steps

Step by step

Solved in 5 steps with 11 images

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning