Q 2.Suppose that 20 percent of the bottles produced in a certain plant are defective. A defectivebottle will be noticed by an inspector and be removed from the filling line with a probability 0.7. If a bottleis not defective, the probability is 0.1 that the inspector will think that it is effective and remove it from thefilling line.(a) What is the probability that a random selected bottle is defective and is removed from the filling line?(b) What is the probability that a bottle will be removed from the filling line?(c) If a customer buys a bottle that has not been removed from the filling line, what is the probability thatit is defective?(d) Consider the event that a bottle is defective and the event that a bottle is removed by the inspector.Are they independent? Explain.AppendixZ.01.02.0304.07STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score..00-3.9 00005 .00005 00004 00004 00004-3.8 00007 .00007-3.7 00011 00010-3.6 00016 .00015-3.5 00023 00022-3.4 00034 .000323.300048 .00047-3.1 00097 .00094 .0009000368 00357.05 .06.08.09.00004 00004 00004 .00003 .0000300007 00006 00006.00006 00006 00005 .00005 0000500010 00010 00009 .00009 00008 00008 000080000800015 00014 00014 .00013 00013 00012 00012 0001100022 00021 00020 .00019 00019 00018 00017 0001700031 00030 00029 .00028 00027 .00026 000250002400045 00043 00042 .00040 .00039 .00038 .00036 .0003500069 .00066 00064 00062 00060 .0005800056 00054 000520005000087 00084 00082 00079 00076 0007400071-3.0 00135 00131 00126 00122 00118 00114 00111 00107 00104 0010000187 .00181 00175 .00169 00164 .00159 .00154 .00149 00144 00139-2.8 00256 00248 00240 00233 00226 .00219 00212 00205 00199 .00193-2.7 00347 00336 00326 00317 00307 00298 00289 00280 00272 00264-2.6 00466 .00453 00440 00427 00415 .00402 00391 00379-2.5 00621 00604 00587 00570 00554 0053900820 00798 00776 00755 00734 0071401072 01044 01017 00990 00964 .00939 .00914 .00889 0086601390 01355 01321 01287 01255 01222 01191 01160 01130-2.1 01786 01743 01700 01659 01618 01578 01539 01500 01463-2.0 02275 0222202169 02118 020680201801970 0192301876-1.9 02872 02807 02743 026800261902559 02500 02442 02385-1.8 03593 .03515 03438 03362 03288 .03216 0314403074 03005 02938-1.7 04457 04363 04272 04182 04093 04006 .03920 03836 03754 03673-1.6 05480 05370 05262 0515505050 04947 04846 04746 0464804551-1.5 06681 06552 06426 06301 06178 06057 05938 05821 05705 05592-1.4 08076 07927 07780 07636 .07493 07353 07215 07078 06944 06811-1.3 09680 09510 09342 09176 09012 08851 08691 08534 08379 08226-1.2 11507 11314 11123 .10935 .10749 10565 10383 10204 10027 09853-1.1 13567 13350 13136 12924 .12714 12507 12302 12100 11900 11702-1.0 15866 15625 .15386 15151 14917 14686 14457 14231 14007 137860042300508004940048000695 00676 0065700639008420110101426-0.2-0.10183102330-0.9 .18406 .18141 .17879 17619 .17361 .17106 .16853 .16602 .16354-0.8 21186 20897 20611 20327 20045 .19766 .19489 .19215 .18943-0.7 .24196 23885 2357623270 22965 22663 22363.22065 2177027425 27093 26763 26435 26109 25785 25463.30854 .30503 .30153 29806 29460 29116 28774 28434 2809632997 .32636 32276 31918 31561 3120735942 .35569 35197 34827-0.625143 24825-0.527760-0.4.34458 .3409033724 33360-0.3.37448 3707036693.36317.38209 3782842074 4168346017 4562041294 4090539743 39358 389743859145224 4482840517 4012944433 44038480064246543644 43251 4285847608 4721046812-0.0 50000 49601 49202 48803 4840546414.16109.186732147624510 STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z. score.Z.00.01.07.08.090.05358657535.02.0350000 50399 50798 511970.1 53983 54380 54776 551720.2 57926 58317 58706 .590950.3 .61791 .62172 62552 .6293066640.61409.65173.687930.50.60.70.8.72240.75490.7852481327838918621488298.90147917749318994408954499632797128 971939706297670.04.05.0651595 51994 52392 52790 5318855567 .55962 56356 56749 5714259483 59871 60257 .60642 61026.63307 .63683 64058 .64431 648030.4 .65542 65910 .66276.67003 .67364 67724 .68082 68439.69146 .69497 69847 .70194 .70540 .70884 71226 .71566 .719047257572907 .73237 .73565 .73891 .74215 74537 .74857 75175.75804 .76115 .76424 .76730 .77035 .77337 77637 77935 7823078814 .79103 .79389 .79673 .79955 80234 80511 .80785 810570.9.81594 8185982121 .82381 .82639 82894 83147 .83398 836461.0 .84134 .84375 .84614 .84849 .85083 .85314 85543 .85769 859931.1 .86433 .86650 86864 .87076 .87286 .87493 .87698 .87900 881001.2 .88493 88686 .88877 .89065 .89251 .89435 .89617 .89796 899731.3.90320 90490 .90658 90824 90988 .91149 91309 .91466 916211.4 91924 92073 92220 92364 92507 92647 92785 92922 930561.5 93319 9344893574 93699 .93822 .93943 94062 .94179 942951.6 94520 94630 94738 94845 94950 .95053 95154 95254 953521.7 .95543 95637 95728 95818 95907 .95994 96080 .96164 962461.8 96407 9648596562 96638 .96712 .96784 96856 .96926 969951.997257 97320 97381 97441 97500 97558 976152.0 97725 97778 97831 97882 97932 .97982 98030 98077 98124 981692.1 98214 98257 98300 .98341 98382 .98422 98461 98500 98537 985742.2 98610 98645 98679 98713 98745 98778 98809 98840 98870 988992.3 98928 989569898399010 99036 .99061 99086 99111 99134 .991582.4 99180 99202 99224 99245 99266 99286 9930599324 99343 993612.5 99379 .99396 99413 99430 99446 .99461 99477 99492 99506 995202.6 99534 .99547 99560 .99573 .99585 .99598 99609 .99621 996322.7 .99653 99664 99674 .99683 99693 9970299711 .99720 997282.8 .99744 99752 99760 99767 .99774 99781 99788 99795 998012.999813 99819 99825 99831 99836 .99841 99846 99851 998563.0 .99865 99869 99874 99878 99882 99886 99889 99893 998963.1 99903 .99906 99910 99913 .99916 .9991899921 99924 9992699931 99934 99936 99938 99940 .99942 99944 99946 999483.2 .99931 .99934 .99936 .99938 99940 .99942 99944 .999463.3 99952 99953 .99955 99957 99958 99960 999613.4 .99966 99968 99969 .99970 99971 99972 999733.5 .99977 99978 99978 .99979 99980 .99981 999813.6 .99984 99985 .99985 .99986 99986 .99987 999373.7 99989 99990 .99990 99990 99991 .99991 999923.8 .99993 99993 99993 99994 99994 .99994 999943.9 99995 99995 .99996 .99996 99996 .99996 .9999699643997369980799861999009992999950.99948.99962 9996499974 .99975.99982 99983.99988 9998899992 99992.99995 .9999599996 99997.9995099965999769998399989.999929999599997

Given that: The probability that the bottle produced is defective, PD=0.20

Answered: Q2. Suppose that 20 percent of the…

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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