Question

300 da d o de las The lengths of human pregnancies are normally tributed with a man f203 and a Mandard deviation of 15 days. What is the probably at a pregnancy OA 04014 OB 0.0179 OC 00164 OD 0834

Answer 1

P(z<Z) table :

Standard Normal Probabilities Standard Normal Probabilities Table ency is the area under the standard normal curve Table entry for to the left of: Table entry for z is the area under the standard normal curve to the left of 0.0 0.1 0.2 3 -3.4 -3.3 -3.2 -3.1 -3.0 -2.9 -2.8 -2.7 -2.6 -2.5 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 .00 .01 .02 .03 .04 .05 .06 .07 .08 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0005 0005 .0005 .0004 .0004 .0004 .0004 .0004 .0004 .0007 .0007 .0006 .0006 .0006 .0006 0006 .0005 .0005 .0010 .0009 0009 .0009 .0008 .0008 0008 .0008 .000 .0013 .0013 .0013 .0012 .0012 .0011 .0011 .0011 0010 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0026 .0025 .0024 .0023 .0023 .0022 .0021 .0021 .0020 00350034 0033 .0032 .0031 .0030 .0029 .0028 .0027 .0047 .0045 .0044 .0043 .0041 .0038 0037 .0062 .0060 .0059 .0057 .0055 .0054 .0052 .0051 .0049 .0075 .0073 .0071 .0069 .0068 .0066 .0107 .0104 .0102 .0099 .0096 .0094 .0091 .0089 .0087 .0139 0136 0132 .0129 .0125 .0122 .0119 .0116 0113 .0179 .0174 .0170 .0166 .0162 .0158 .0154 .0150 .0146 .0228 0222 .0217 .0212 .0207 .0202 .0197 .0192 .0188 .0287 .0281 .0274 .0268 .0262 .0256 .02500244 0239 .0359 .0351 .0344 .0336 .0329 .0322 .0314 0307 .0301 .0446 0436 0427 .0418 .0409 .0384 .0375 .0548 .0537 .0526 .0516 05050495.0485 .0475 .0465 .0668 .0655 .0643 .0630 .0618 .0606 .0594 .0582 .0571 .0808 .0793 .0778 .0764 .0749 .0735 .0721 .0708 .0694 .0968 .0951 .0934 .0918 0901 ORAS 0869 0853 0838 115111311112 .1093 .1075 1056 1038 .1020 1003 .1357 .1335 1314 .1292 .1271 .1251 1230 1190 .1587 .1562 1539 .1515 .1492 1469 .1446 1423 1401 1841 1814 1788 1762 1736 1711 1685 1660 1635 21192090 2061 2033 2005 .1977 1949 .1922 .1894 2420 2389 2358 2327 2296 2266 2236 2206 2177 2743 2709 2676 2643 2611 2578 2546 2514 2483 3085 3050 3015 .2981 2946 2912 28772843 2810 3446 3409 3372 3336 3300 3264 3228 3192 3156 3821 3783 3745 37073669 3632 3594 35573520 4207 .4168.412940904052 4013 3974 39363897 .4602 .4562 45224483 4443 4404 4364 43254286 .5000 .496049204880.4840 48014761 47214681 -2.3 -2.2 -2.1 -2.0 -1.9 -1.8 -1.7 -1.6 -1.5 -1.4 -1.3 -1.2 -1.1 -1.0 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 -0.0 .09 .0002 .0003 .0005 .0007 0010 .0014 .0019 .0026 .0036 .0048 .0064 .0084 .0110 .0143 .0183 .0233 .0294 .0367 .0455 .0559 .0681 0823 0985 1170 .1379 1611 1867 2148 .2451 .2776 3121 3483 .3859 4247 .4641 .00 .01 .02 .03 .04 .05 .06 07 08 09 5000 5040 50805120 51605199523952795319 5359 .5398 5438 5478 5517 5557 5596 5636 5675 5714 5753 .5793 583258715910 5948 5987 .6026 6064 6103 .6141 .6179 6217 6255 .6293 .63316368 6406 6443 .6480 .6517 655465916628 .6664 .6700 6736 .6772 6808 6844 .6879 .69156950 6985 7019 .7054 7088 71237157 7190 7224 7257 7291 7324 7357 74227454 7486 7517 7549 7580 7611 7642 7673 7704 7734 7764 7794 .7823 7852 .78817910 79397967 .7995 .8023 8051 8078 8106 .8133 .81598186 8212 .8238 .8264 82898315 8340 8365 .8389 .84138438 8461 .84858508 85318554 8577 .8599 .8621 .86438665 8686 8708 87298749.8770879088108830 .8849 8869 8888 .8907 .8925 8944896289808997 .9015 .9032 90499066 9082 90999115 913191479162 9177 .91929207 .9222 .9236 .9251 9292 9306 9319 .9332 9345 9357 .9370 9382 .9429 9441 9452 9463 .9474 9484 .94959505 9515 9525 9535 9545 .9554 9564 9573 9582 .9591959996089616 9625 .9633 9641 96499656 9664 99671 .9678 9686 96939699 9706 .97139719 9726 9732 .9738 9744 9750 9761 9767 9772 9778 9783 9788 .9793 9798 9803 9808 9812 9817 .9821 9826 .98309834 9838 98429846 9850 9854 9857 98619864 98689871 .9875 9878 9881 9884 9887 9890 .989398969898 9901 9904 9906 99099911 9913 9916 .9918 9920 .99229925 .9927 992999319932 9934 9936 .9938 9940 .99419943 .99459946 99489949 9951 .9952 .9953 9955 9956 999 .9959 996099619962 9963 9964 .9965 9966 .9967 .9968 9969 .997099719972 .9973 .9974 9974 9975 9976 9977 .9977 9978 99799979 9980 9981 9981998299829983 9984 9984 99859985 9986 9986 998799879987 9988 .9988999999999989 9990 9990 9990 99919991 9991 9992 999299929992 9993 .9993 99939993 9994 9994 99949994 9994 9995 9995 9995 .9995 9995 9995 999 9996 9996 9996 9996 9996 9997 999799979997999799979997 999799979997 9998 1.7 1.8 1.9 2.0 2.2 23 24 25 26 2.7 2.8 2.9 3.0 3.1 3.2 3.3 3.4

P(x>=300) :

A = 268, 0 = 15 We need to compute Pr(X > 300). The corresponding Z-value needed to be computed is: X - 300 - 268 Z=- -= 2.1333 15 Therefore, we get that Pr(x > 300) = Pr (22 300268) = Pr(Z 2.1333) =1-0.9836 = 0.0164

P(x>=300) = 0.0164 {option C}

(please upvote)