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Use Appendix Table III to determine to 5 decimal places the following probabilities for the standard normal random variable Z: (a) P(Z < 1.32) = (b) P(Z < 2.7) = i (c) P(Z > 1.45) = i (d) P(Z > - 2.15) =

Use Appendix Table III to determine to 5 decimal places the following probabilities for the standard normal random variable Z: (a) P(Z < 1.32) = (b) P(Z < 2.7) = i (c) P(Z > 1.45) = i (d) P(Z > - 2.15) =

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...
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Use Appendix Table III to determine to 5 decimal places the following probabilities for the standard normal random variable Z: (a) P(Z < 1.32) = (b) P(Z < 2.7) = i (c) P(Z > 1.45) = i (d) P(Z > - 2.15) = i (e) P(-2.34 < Z < 1.76) = i
Transcribed Image Text:Use Appendix Table III to determine to 5 decimal places the following probabilities for the standard normal random variable Z: (a) P(Z < 1.32) = (b) P(Z < 2.7) = i (c) P(Z > 1.45) = i (d) P(Z > - 2.15) = i (e) P(-2.34 < Z < 1.76) = i
4:25 pm A@64% 1 TABLE III 14:4 Cumulative Standard Normal Distribution -0.09 -0.08 -0.00 35 -0.06 -0.05 -0.04 -0.00 -0.02 -0.01 0.000033 6.000034 0.000036 0.000037 0.00039 0.000041 0.000042 0.000044 0.000046 0.000048 -3.8 0.000030 0.000052 0.000054 0.000057 0.00059 0.000062 0.000064 0.000067 0.000059 0.000072 -3.7 0.000075 0.000078 0.000082 0.000085 0.000068 0.000092 0.000096 0.000100 0.00104 0.000108 -3.6 0.000112 a000117 0.000121 0.000125 0.000131 0.000136 0.000142 0.000147 0.000133 0.000139 -3.5 0.000165 0.000172 0.000179 0.000185 0.000193 0.000200 0.000208 0.000216 0.000224 0.000233 -3.4 0.000242 0.000251 0.000260 0.000270 0.000280 0.000291 0.000002 0.000313 0.000325 0.000337 -3.3 0.000350 0.000362 0.000376 0.000390 0.000404 0.000419 0.000434 0.000450 0.000467 0.000483 -3.2 0.000501 0.000519 0.000538 0.000557 0.000577 0.000598 0.000619 0.000541 0.000664 0.000687 3.1 0.000711 0.00075 0.000762 0.000789 0.000816 0.000645 0.000874 0.000964 0.000935 0.000968 -3.0 0.001001 0.001035 0.001070 0.001107 0.001144 0.001183 0.001223 0.001264 0.001306 0.001350 -2.9 0.001395 0.001441 0.001489 0.001538 0.001589 0.001541 0.001655 0.001750 0.001807 0.001866 -2.8 0.001926 0.001988 0.002052 0.002118 0.002186 0.002256 0.002327 0.002401 0.002477 0.002555 -2.7 0.002635 0.002718 0.002803 0.002890 0.002980 0.003072 0.003167 0.003264 0.003364 0.003457 2.6 0.003573 0.003681 0.003798 0.003907 0.000025 0.004145 0.004269 0.004396 0.004527 0.004661 -2.5 0.004799 0.004940 0.005085 0.005234 0.005386 0.005543 0.005703 0.005868 0.006037 0.006210 -24 0.006387 0.006569 0.006756 0.006947 0.007143 0.007344 0.007549 0.007760 0.007976 0.008198 2.3 0.008424 0.008656 0.008894 0.009137 0.009387 0.009642 0.009903 0.010170 0.010444 0.010724 - H -22 0011011 a011304 0.011604 0.011911 0.012224 0.012545 0.012874 0.013209 0.013553 0013903 -21 0.014362 0.014629 0.015003 0.015386 0.013778 .016177 0.016386 0.017003 0.017429 0.017864 2.0 0.018309 0.018763 0.019226 0.019699 0.020182 0.020675 0.021178 0.021692 0.822216 0.022750 -1.9 0.023295 0.023852 0.024419 0.024998 0.025588 0.026190 0.026803 0.027429 0.028067 0.026717 -1.8 0.029379 0.030054 0.030742 0.031443 0.032137 0.032884 0.033625 0.034379 0.035148 0.035930 1.7 0.036727 0.037538 0.0364 0339204 0.000059 0.040929 0.041815 0042715 0.043633 0.044565 -1.6 0.043514 0046479 0.047460 0.048457 0.049471 0050503 0.051351 0.052616 0.053699 0.054799 -1.5 0.055917 0.057053 0.058208 0.059380 0.060571 0.061789 0.063008 0.064256 0.065522 0.066807 1.4 0.068112 0.069437 0.070781 0.072145 0,073529 0.074934 0.076359 0.077804 0.079270 0.080757 -1.3 0.082264 0.083793 0.085343 0.086915 0.088508 0090123 0.091759 0.053418 0.095098 0.096801 waren Code - 1.2 0.098525 0.100273 0.102042 0.103835 0.105650 0.107488 0.109349 0.111233 0.113140 0113070 CON 1.1 0.117023 0.119000 0.121001 0123024 0.125072 0.127143 0.129238 0.131357 0.133300 0135666 Maine 0121001 -1.0 0.137837 0.140071 0.142310 0.144572 0.146859 0149170 0.151505 0.153864 0.156248 0158655 -0.9 0.161087 0163543 0.166023 0.168528 0.171056 0.173609 0.176185 0.178786 0.181411 0.184060 -0.8 0.186733 0.189430 0.192130 0.194894 0.157662 0200454 0.203269 0206108 0.208970 0211855 -0.7 0214764 0217695 0.220650 0223627 0.225627 0.229650 0.232695 0.235762 0.238852 0241964 0.6 0.245097 0.248252 0.251429 0.254627 0257846 0.261086 0.264147 0.267629 0.270431 0.274253 -0.5 0.277595 0.280957 0.284339 0.287740 0.291160 0.294599 0.298066 0.301532 0.305026 0.308538 -0.4 0.312067 0.315614 0.319178 0.322758 0.326335 0.329969 0.333558 0.337243 0.340903 0.344578 -0.3 0.348268 0.351973 0.353691 0.339424 0.363169 0.366928 0.370760 0.374484 0.378281 0.382089 -0.2 0.385508 0.389739 0.393580 0.397432 0.401294 0405165 0.4090-46 0.412936 0.416834 0.420740 -0.1 0.420655 0.428576 0.432505 0.436441 0.400382 0444330 0.448283 0.452242 0.456205 0.460172 0.0 0.464144 0.468119 0472097 0.476078 0.490061 0.484047 0.488033 0.492022 0.450011 0300000 2 O 4:26 pm TABLE III 0.09 Cumulative Standard Normal Distribution (continued) Z 0.00 0.01 0.02 0.04 0.05 0.06 0.07 0.08 0.0 0.500000 0.503989 0.507978 0.511967 0.515953 0.519939 0.532922 0.527903 0.5318681 0.535856 0.1 0.539828 0.543795 0.547758 0.551717 0.555760 0559618 0.563559 0.567495 0.571424 0.575345 0.2 0.579260 0.583166 0.587064 0.590954 0.594835 0.598706 0.502568 0.606420 0.610261 0.614092 H 0.3 0.617911 021719 0.625516 0.629300 0.633072 0.636831 0.643576 0644309 0.648027 0.651732 0.4 0.655422 0.659097 0.662757 0.566402 0.670031 0.673645 0.677242 0.680822 0.684386 0.687933 0.5 0.691462 0.694974 0.698468 0.701944 0.705401 0708840 0.712260 0.715661 0.719043 0.722405 L 0.6 0.725747 0.729069 0.732371 0.735653 0.738914 0742154 0.745373 0.748571 0.751748 0.754903 F H 0.7 0.758035 0.761148 0.764238 0.767305 0.770350 a778373 0.776373 0.779850 0.7823054785236 + = 0.8 0.788145 0.791030 0.793892 0.796731 0.799546 0.802338 0.805106 0.807850 0.810570 0.813267 0.9 0.815940 0.818589 0.821214 0.823815 0.826391 0.828944 0.831472 0.833977 0.836457 0.838913 1.0 0.841345 0.843752 0.846136 0.848495 0.850630 0.853141 0.855428 0.857690 0.859929 0.862143 1.1 0.864334 0.866500 0.868543 0870762 0.872857 0874928 0.875976 0.878999 0.881000 0.882977 1.2 0.884930 0.886850 0.888767 0.890651 0.892512 0.894350 0.895165 0.897958 0.899727 0901475 1.3 0.903199 0.904902 0.906582 0.908241 0.909877 0911452 0.913085 0.914657 0.916207 0917736 1.4 0.919243 0.920730 0.922196 0.923641 0.925066 0.926471 0.927855 0.929219 0.930563 0.931888 1.5 0.933193 0934478 0.935744 0.936992 0.938220 a939429 0.940620 0.941792 0.942947 0944083 1.6 0945201 0946301 0.947384 0948449 0.949197 0950529 0.951543 0.952540 0.953521 0.954486 - t 1.7 0.933433 0.956367 0.957284 0.958185 0.939071 0939941 0.963796 0.561636 0.962462 0.963273 1.8 0.964070 0.964852 0.965621 0.966375 0.967116 0.967843 0.968557 0.969258 0.969946 0.970621 1.9 0.971283 0.971933 0.972571 0.973197 0.973810 a974412 0.975002 0.975581 0.976148 0976705 ▬▬▬▬▬ E HE E H 2.0 0.977250 0977784 0.978308 0.978822 0.979325 0.979818 0.980301 0.580774 0.981237 0981691 2.1 0.982136 0982571 0982997 0.983414 0.983823 0984222 0.984614 0.984997 0.983371 0985738 B 2.2 0.986097 0.986447 0.986791 0.987126 0.987455 0.987776 0.968089 0.588356 0.988696 0.988989 2.3 0.989276 0989556 0.989830 0.990097 0.990358 0.990613 0.993863 0.991106 0.991344 0.991576 2.4 0.991802 0.992024 0.992240 0.992451 0.992656 0992857 0.993053 0.993244 0.993431 6.993613 2.5 0.993790 0.993953 0.994132 0.994297 0.994437 0994614 0.994766 0.994915 0.995060 0.995201 P 2.6 0.995339 0.995473 0.995504 0.995731 0.995855 0.995975 0.995093 0.996207 0.996319 0.996427 2.7 0.996533 0.996636 0.996736 0.996833 0.996928 0.997020 0.997110 0.997197 0.997282 6.997365 2.8 0.997445 0.997523 0.997599 0.997673 0.997744 0.997814 0.997882 0.997948 0.998012 0.998074 2.9 0.998134 0.998193 0.998250 0.998305 0.998359 0.998411 0.998462 0.998511 0.998559 0.998605 3.0 0.998630 0.998694 0.998736 0.998777 0.998817 0996856 0.955833 0.998930 0.958965 0.998999 - 3.1 0.999032 0.999065 0.999396 0.999126 0.999155 0.999184 0.999211 0.999238 0.999264 0.999289 C 3.2 0.999313 0.999336 0.999359 0.999381 0.999402 0.999423 0.999443 0.999462 0.999481 0.999499 HTT 3.3 0.999517 0.999533 0.999550 0.999566 0.999581 0.999596 0.999610 0.999624 0.999638 0.999650 3.4 0.999698 0.999758 0.999563 0999675050999709992099730 8999740 0.999749 3.5 0.999767 0.999776 0.999784 0.999792 0.999600 0.999807 0.999815 0.999821 0.999828 0.999835 3.6 0.999841 0.999847 0.999853 0.999858 0.999664 0.999869 0.999674 0.999879 0.999863 0.999688 3.7 0.999892 0.999896 0.999900 0.999904 0.999908 a.999912 0.999915 0.999918 0.999922 0.999925 3.8 0.999928 0.999931 0.999933 0.999936 0.999938 0.999941 0.999943 0.999946 0.999948 0.999950 3.9 0.999952 0.999954 0.999956 0.999958 0.999559 0.999961 0.999563 0.999964 0.999966 0.999967 64%
Transcribed Image Text:4:25 pm A@64% 1 TABLE III 14:4 Cumulative Standard Normal Distribution -0.09 -0.08 -0.00 35 -0.06 -0.05 -0.04 -0.00 -0.02 -0.01 0.000033 6.000034 0.000036 0.000037 0.00039 0.000041 0.000042 0.000044 0.000046 0.000048 -3.8 0.000030 0.000052 0.000054 0.000057 0.00059 0.000062 0.000064 0.000067 0.000059 0.000072 -3.7 0.000075 0.000078 0.000082 0.000085 0.000068 0.000092 0.000096 0.000100 0.00104 0.000108 -3.6 0.000112 a000117 0.000121 0.000125 0.000131 0.000136 0.000142 0.000147 0.000133 0.000139 -3.5 0.000165 0.000172 0.000179 0.000185 0.000193 0.000200 0.000208 0.000216 0.000224 0.000233 -3.4 0.000242 0.000251 0.000260 0.000270 0.000280 0.000291 0.000002 0.000313 0.000325 0.000337 -3.3 0.000350 0.000362 0.000376 0.000390 0.000404 0.000419 0.000434 0.000450 0.000467 0.000483 -3.2 0.000501 0.000519 0.000538 0.000557 0.000577 0.000598 0.000619 0.000541 0.000664 0.000687 3.1 0.000711 0.00075 0.000762 0.000789 0.000816 0.000645 0.000874 0.000964 0.000935 0.000968 -3.0 0.001001 0.001035 0.001070 0.001107 0.001144 0.001183 0.001223 0.001264 0.001306 0.001350 -2.9 0.001395 0.001441 0.001489 0.001538 0.001589 0.001541 0.001655 0.001750 0.001807 0.001866 -2.8 0.001926 0.001988 0.002052 0.002118 0.002186 0.002256 0.002327 0.002401 0.002477 0.002555 -2.7 0.002635 0.002718 0.002803 0.002890 0.002980 0.003072 0.003167 0.003264 0.003364 0.003457 2.6 0.003573 0.003681 0.003798 0.003907 0.000025 0.004145 0.004269 0.004396 0.004527 0.004661 -2.5 0.004799 0.004940 0.005085 0.005234 0.005386 0.005543 0.005703 0.005868 0.006037 0.006210 -24 0.006387 0.006569 0.006756 0.006947 0.007143 0.007344 0.007549 0.007760 0.007976 0.008198 2.3 0.008424 0.008656 0.008894 0.009137 0.009387 0.009642 0.009903 0.010170 0.010444 0.010724 - H -22 0011011 a011304 0.011604 0.011911 0.012224 0.012545 0.012874 0.013209 0.013553 0013903 -21 0.014362 0.014629 0.015003 0.015386 0.013778 .016177 0.016386 0.017003 0.017429 0.017864 2.0 0.018309 0.018763 0.019226 0.019699 0.020182 0.020675 0.021178 0.021692 0.822216 0.022750 -1.9 0.023295 0.023852 0.024419 0.024998 0.025588 0.026190 0.026803 0.027429 0.028067 0.026717 -1.8 0.029379 0.030054 0.030742 0.031443 0.032137 0.032884 0.033625 0.034379 0.035148 0.035930 1.7 0.036727 0.037538 0.0364 0339204 0.000059 0.040929 0.041815 0042715 0.043633 0.044565 -1.6 0.043514 0046479 0.047460 0.048457 0.049471 0050503 0.051351 0.052616 0.053699 0.054799 -1.5 0.055917 0.057053 0.058208 0.059380 0.060571 0.061789 0.063008 0.064256 0.065522 0.066807 1.4 0.068112 0.069437 0.070781 0.072145 0,073529 0.074934 0.076359 0.077804 0.079270 0.080757 -1.3 0.082264 0.083793 0.085343 0.086915 0.088508 0090123 0.091759 0.053418 0.095098 0.096801 waren Code - 1.2 0.098525 0.100273 0.102042 0.103835 0.105650 0.107488 0.109349 0.111233 0.113140 0113070 CON 1.1 0.117023 0.119000 0.121001 0123024 0.125072 0.127143 0.129238 0.131357 0.133300 0135666 Maine 0121001 -1.0 0.137837 0.140071 0.142310 0.144572 0.146859 0149170 0.151505 0.153864 0.156248 0158655 -0.9 0.161087 0163543 0.166023 0.168528 0.171056 0.173609 0.176185 0.178786 0.181411 0.184060 -0.8 0.186733 0.189430 0.192130 0.194894 0.157662 0200454 0.203269 0206108 0.208970 0211855 -0.7 0214764 0217695 0.220650 0223627 0.225627 0.229650 0.232695 0.235762 0.238852 0241964 0.6 0.245097 0.248252 0.251429 0.254627 0257846 0.261086 0.264147 0.267629 0.270431 0.274253 -0.5 0.277595 0.280957 0.284339 0.287740 0.291160 0.294599 0.298066 0.301532 0.305026 0.308538 -0.4 0.312067 0.315614 0.319178 0.322758 0.326335 0.329969 0.333558 0.337243 0.340903 0.344578 -0.3 0.348268 0.351973 0.353691 0.339424 0.363169 0.366928 0.370760 0.374484 0.378281 0.382089 -0.2 0.385508 0.389739 0.393580 0.397432 0.401294 0405165 0.4090-46 0.412936 0.416834 0.420740 -0.1 0.420655 0.428576 0.432505 0.436441 0.400382 0444330 0.448283 0.452242 0.456205 0.460172 0.0 0.464144 0.468119 0472097 0.476078 0.490061 0.484047 0.488033 0.492022 0.450011 0300000 2 O 4:26 pm TABLE III 0.09 Cumulative Standard Normal Distribution (continued) Z 0.00 0.01 0.02 0.04 0.05 0.06 0.07 0.08 0.0 0.500000 0.503989 0.507978 0.511967 0.515953 0.519939 0.532922 0.527903 0.5318681 0.535856 0.1 0.539828 0.543795 0.547758 0.551717 0.555760 0559618 0.563559 0.567495 0.571424 0.575345 0.2 0.579260 0.583166 0.587064 0.590954 0.594835 0.598706 0.502568 0.606420 0.610261 0.614092 H 0.3 0.617911 021719 0.625516 0.629300 0.633072 0.636831 0.643576 0644309 0.648027 0.651732 0.4 0.655422 0.659097 0.662757 0.566402 0.670031 0.673645 0.677242 0.680822 0.684386 0.687933 0.5 0.691462 0.694974 0.698468 0.701944 0.705401 0708840 0.712260 0.715661 0.719043 0.722405 L 0.6 0.725747 0.729069 0.732371 0.735653 0.738914 0742154 0.745373 0.748571 0.751748 0.754903 F H 0.7 0.758035 0.761148 0.764238 0.767305 0.770350 a778373 0.776373 0.779850 0.7823054785236 + = 0.8 0.788145 0.791030 0.793892 0.796731 0.799546 0.802338 0.805106 0.807850 0.810570 0.813267 0.9 0.815940 0.818589 0.821214 0.823815 0.826391 0.828944 0.831472 0.833977 0.836457 0.838913 1.0 0.841345 0.843752 0.846136 0.848495 0.850630 0.853141 0.855428 0.857690 0.859929 0.862143 1.1 0.864334 0.866500 0.868543 0870762 0.872857 0874928 0.875976 0.878999 0.881000 0.882977 1.2 0.884930 0.886850 0.888767 0.890651 0.892512 0.894350 0.895165 0.897958 0.899727 0901475 1.3 0.903199 0.904902 0.906582 0.908241 0.909877 0911452 0.913085 0.914657 0.916207 0917736 1.4 0.919243 0.920730 0.922196 0.923641 0.925066 0.926471 0.927855 0.929219 0.930563 0.931888 1.5 0.933193 0934478 0.935744 0.936992 0.938220 a939429 0.940620 0.941792 0.942947 0944083 1.6 0945201 0946301 0.947384 0948449 0.949197 0950529 0.951543 0.952540 0.953521 0.954486 - t 1.7 0.933433 0.956367 0.957284 0.958185 0.939071 0939941 0.963796 0.561636 0.962462 0.963273 1.8 0.964070 0.964852 0.965621 0.966375 0.967116 0.967843 0.968557 0.969258 0.969946 0.970621 1.9 0.971283 0.971933 0.972571 0.973197 0.973810 a974412 0.975002 0.975581 0.976148 0976705 ▬▬▬▬▬ E HE E H 2.0 0.977250 0977784 0.978308 0.978822 0.979325 0.979818 0.980301 0.580774 0.981237 0981691 2.1 0.982136 0982571 0982997 0.983414 0.983823 0984222 0.984614 0.984997 0.983371 0985738 B 2.2 0.986097 0.986447 0.986791 0.987126 0.987455 0.987776 0.968089 0.588356 0.988696 0.988989 2.3 0.989276 0989556 0.989830 0.990097 0.990358 0.990613 0.993863 0.991106 0.991344 0.991576 2.4 0.991802 0.992024 0.992240 0.992451 0.992656 0992857 0.993053 0.993244 0.993431 6.993613 2.5 0.993790 0.993953 0.994132 0.994297 0.994437 0994614 0.994766 0.994915 0.995060 0.995201 P 2.6 0.995339 0.995473 0.995504 0.995731 0.995855 0.995975 0.995093 0.996207 0.996319 0.996427 2.7 0.996533 0.996636 0.996736 0.996833 0.996928 0.997020 0.997110 0.997197 0.997282 6.997365 2.8 0.997445 0.997523 0.997599 0.997673 0.997744 0.997814 0.997882 0.997948 0.998012 0.998074 2.9 0.998134 0.998193 0.998250 0.998305 0.998359 0.998411 0.998462 0.998511 0.998559 0.998605 3.0 0.998630 0.998694 0.998736 0.998777 0.998817 0996856 0.955833 0.998930 0.958965 0.998999 - 3.1 0.999032 0.999065 0.999396 0.999126 0.999155 0.999184 0.999211 0.999238 0.999264 0.999289 C 3.2 0.999313 0.999336 0.999359 0.999381 0.999402 0.999423 0.999443 0.999462 0.999481 0.999499 HTT 3.3 0.999517 0.999533 0.999550 0.999566 0.999581 0.999596 0.999610 0.999624 0.999638 0.999650 3.4 0.999698 0.999758 0.999563 0999675050999709992099730 8999740 0.999749 3.5 0.999767 0.999776 0.999784 0.999792 0.999600 0.999807 0.999815 0.999821 0.999828 0.999835 3.6 0.999841 0.999847 0.999853 0.999858 0.999664 0.999869 0.999674 0.999879 0.999863 0.999688 3.7 0.999892 0.999896 0.999900 0.999904 0.999908 a.999912 0.999915 0.999918 0.999922 0.999925 3.8 0.999928 0.999931 0.999933 0.999936 0.999938 0.999941 0.999943 0.999946 0.999948 0.999950 3.9 0.999952 0.999954 0.999956 0.999958 0.999559 0.999961 0.999563 0.999964 0.999966 0.999967 64%
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