Each item produced by a certain manufacturer is, independently, of acceptable quality with probability .95. Approximate the probability that at most 10 of the next 150 items produced are unacceptable.

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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Table is provided in image.

Each item produced by a certain manufacturer is, independently, of acceptable quality with
probability .95. Approximate the probability that at most 10 of the next 150 items produced are
unacceptable. 

0.5
1
1.5
2
2.5
3.5
4
4.5
5
0.3679
0.1353 0.0821
0.5578 0.4060 0.2873 0.199|
0.6065
0.2231
0.0498
0.0302
0.0183
0.0111
0.0067
1
0.9098
0.7358
0.1359
0.0916
0.0611
0.0404
0.6767 0.5438 0.4232 0.3208
0.7576 0.6472
2
0.9856 0.9197 0.8088
0.2381
0.1736 0.1247
3
0.9982
0.9810
0.9344
0.8571
0.5366 0.4335
0.3423 0.2650
O0.99980.09630.081T 00173 08012 0.8153 0.7254
0.8576
0.6288
0.5321
0.4405
5
1.0000
0.9994
0.9955 0.9834 0.9580
0.9161
0.7851
0.7029 0.6160
6.
1.0000
0.9999 0.9991
0.9955 0.9858
0.9665
0.9347
0.8893
0.8311
0.7622
7
1.0000
1.0000 0.9998 0.9989 0.9958
0.9881
0.9733
0.9489
0.9134
0.8666
1.0000
1.0000
1.0000 0.9998 0.9989
0.9962
0.9901
0.9786
0.9597 0.9319
1.0000
1.0000
1.0000
1.0000 0.9997 0.9989 0.9967
0.9919
0.9829 0.9682
10
1.0000
1.0000
1.0000
1.0000 0.9999 0.9997 0.9990 0.9972
0.9933 0.9863
11
1.0000
1.0000
1.0000
1.0000
1.0000
0.9999
0.9997
0.9991
0.9976 0.9945
12
1.0000 1.0000
1.0000
1.0000
1.0000
1.0000
0.9999
0.9997
0.9992 0.9980
13
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000 0.9999
0.9997 0.9993
14
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
0.9999 0.9998
15
1.0000
1.0000 1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000 0.9999
16
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
5.5
6
6.5
7
7.5
8.
8.5
9.5
10
0.0041
0.0025
0.0015
0.0009
0.0006 0.0003 0.0002
0.0001
0.0001
0.0000
1
0.0266 0.0174
0.0113 0.0073
0.0047
0.0030 0.0019
0.0012 0.0008 0.0005
0.0884 0.0620 0.0430
0.0296
0.0203
0.0138 0.0093
0.0062 0.0042 0.0028
3
0.2017 0.1512 0.1118 0.0818
0.0591
0.0424 0.0301
0.0212 0.0149 0.0103
4
0.3575 0.2851
0.2237
0.1730
0.1321
0.0996 0.0744 0.0550 0.0403 0.0293
0.5289 0.4457 0.3690 0.3007
0.2414 0.1912 0.1496
0.1157 0.0885 0.0671
6
0.6860 0.6063 0.5265 0.4497 0.3782 0.3134 0.2562 0.2068 0.1649 0.1301
7
0.8095 0.7440
0.6728 0.5987 0.5246
0.4530 0.3856 0.3239 0.2687 0.2202
0.8944 0.8472 0.7916 0.7291 0.6620 0.5925 0.5231 0.4557 0.3918 0.3328
9
0.9462 0.9161
0.8774 0.8305 0.7764 0.7166 0.6530 0.5874 0.5218 0.4579
10
0.9747 0.9574 0.9332 0.9015 0.8622 0.8159 0.7634 0.7060 0.6453 0.5830
11
0.9890 0.9799 0.9661 0.9467
0.9208 0.8881 0.8487 0.8030 0.7520 0.6968
12
0.9955 0.9912 0.9840 0.9730 0.9573 0.9362 0.9091 0.8758 0.8364 0.7916
13
0.9983 0.9964 0.9929 0.9872
0.9784 0.9658 0.9486 0.9261
0.8981
0.8645
14
0.9994 0.9986 0.9970 0.9943
0.9897 0.9827 0.9726 0.9585 0.9400 0.9165
15
0.9998 0.9995
0.9988
0.9976 0.9954 0.9918 0.9862 0.9780 0.9665 0.9513
16
0.9999 0.9998
0.9996 0.9990 0.9980 0.9963 0.9934 0.9889 0.9823 0.9730
17
1.0000 0.9999
0.9998
0.9996 0.9992 0.9984 0.9970 0.9947 0.9911
0.9857
18
1.0000
1.0000
0.9999 0.9999 0.9997 0.9993 0.9987 0.9976 0.9957 0.9928
19
1.0000 1.0000
1.0000 1.0000 0.9999 0.9997 0.9995 0.9989 0.9980 0.9965
20
1.0000
1.0000
1.0000
1.0000
1.0000 0.9999
0.9998 0.9996 0.9991
0.9984
21
1.0000 1.0000
1.0000 1.0000
1.0000
1.0000 0.9999 0.9998 0.9996 0.9993
22
1.0000
1.0000
1.0000
1.0000 1.0000
1.0000
1.0000 0.9999 0.9999 0.9997
23
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000 0.9999 0.9999
24
1.0000
1.0000
1.0000
1.0000 1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
Transcribed Image Text:0.5 1 1.5 2 2.5 3.5 4 4.5 5 0.3679 0.1353 0.0821 0.5578 0.4060 0.2873 0.199| 0.6065 0.2231 0.0498 0.0302 0.0183 0.0111 0.0067 1 0.9098 0.7358 0.1359 0.0916 0.0611 0.0404 0.6767 0.5438 0.4232 0.3208 0.7576 0.6472 2 0.9856 0.9197 0.8088 0.2381 0.1736 0.1247 3 0.9982 0.9810 0.9344 0.8571 0.5366 0.4335 0.3423 0.2650 O0.99980.09630.081T 00173 08012 0.8153 0.7254 0.8576 0.6288 0.5321 0.4405 5 1.0000 0.9994 0.9955 0.9834 0.9580 0.9161 0.7851 0.7029 0.6160 6. 1.0000 0.9999 0.9991 0.9955 0.9858 0.9665 0.9347 0.8893 0.8311 0.7622 7 1.0000 1.0000 0.9998 0.9989 0.9958 0.9881 0.9733 0.9489 0.9134 0.8666 1.0000 1.0000 1.0000 0.9998 0.9989 0.9962 0.9901 0.9786 0.9597 0.9319 1.0000 1.0000 1.0000 1.0000 0.9997 0.9989 0.9967 0.9919 0.9829 0.9682 10 1.0000 1.0000 1.0000 1.0000 0.9999 0.9997 0.9990 0.9972 0.9933 0.9863 11 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9997 0.9991 0.9976 0.9945 12 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9997 0.9992 0.9980 13 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9997 0.9993 14 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9998 15 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 16 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 5.5 6 6.5 7 7.5 8. 8.5 9.5 10 0.0041 0.0025 0.0015 0.0009 0.0006 0.0003 0.0002 0.0001 0.0001 0.0000 1 0.0266 0.0174 0.0113 0.0073 0.0047 0.0030 0.0019 0.0012 0.0008 0.0005 0.0884 0.0620 0.0430 0.0296 0.0203 0.0138 0.0093 0.0062 0.0042 0.0028 3 0.2017 0.1512 0.1118 0.0818 0.0591 0.0424 0.0301 0.0212 0.0149 0.0103 4 0.3575 0.2851 0.2237 0.1730 0.1321 0.0996 0.0744 0.0550 0.0403 0.0293 0.5289 0.4457 0.3690 0.3007 0.2414 0.1912 0.1496 0.1157 0.0885 0.0671 6 0.6860 0.6063 0.5265 0.4497 0.3782 0.3134 0.2562 0.2068 0.1649 0.1301 7 0.8095 0.7440 0.6728 0.5987 0.5246 0.4530 0.3856 0.3239 0.2687 0.2202 0.8944 0.8472 0.7916 0.7291 0.6620 0.5925 0.5231 0.4557 0.3918 0.3328 9 0.9462 0.9161 0.8774 0.8305 0.7764 0.7166 0.6530 0.5874 0.5218 0.4579 10 0.9747 0.9574 0.9332 0.9015 0.8622 0.8159 0.7634 0.7060 0.6453 0.5830 11 0.9890 0.9799 0.9661 0.9467 0.9208 0.8881 0.8487 0.8030 0.7520 0.6968 12 0.9955 0.9912 0.9840 0.9730 0.9573 0.9362 0.9091 0.8758 0.8364 0.7916 13 0.9983 0.9964 0.9929 0.9872 0.9784 0.9658 0.9486 0.9261 0.8981 0.8645 14 0.9994 0.9986 0.9970 0.9943 0.9897 0.9827 0.9726 0.9585 0.9400 0.9165 15 0.9998 0.9995 0.9988 0.9976 0.9954 0.9918 0.9862 0.9780 0.9665 0.9513 16 0.9999 0.9998 0.9996 0.9990 0.9980 0.9963 0.9934 0.9889 0.9823 0.9730 17 1.0000 0.9999 0.9998 0.9996 0.9992 0.9984 0.9970 0.9947 0.9911 0.9857 18 1.0000 1.0000 0.9999 0.9999 0.9997 0.9993 0.9987 0.9976 0.9957 0.9928 19 1.0000 1.0000 1.0000 1.0000 0.9999 0.9997 0.9995 0.9989 0.9980 0.9965 20 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9998 0.9996 0.9991 0.9984 21 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9998 0.9996 0.9993 22 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9999 0.9997 23 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9999 24 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
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