Question 1

Find the indicated probability using the standard normal distribution. P( - 2.41 0.53) Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. P(z 0.53) = (Round to four decimal places as needed.) E.... X Area under the standard normal distribution to the left of Z (page 1) X Area under the standard normal distribution to the left of Z (page. 2) 00 .01 .02 .03 .04 05 .06 .07 .08 09 .09 .08 .07 .06 .05 .04 .03 .02 .01 .00 0.0 .5000 .5040 .5080 .5120 .5160 519 .5239 5279 5319 .5359 -3.4 0002 .0003 0003 00 0003 000 0003 0003 0003 0.1 .5398 .5438 5478 5517 .5557 .5596 .5636 5675 .5714 .5753 -3.3 .0003 .0004 0004 .0004 .0004 .0004 .0004 .0005 .0005 .0005 0.2 .5793 .5832 5871 5910 .5948 .5987 6026 6064 .6103 6141 -3.2 0005 0005 0005 0006 0006 0006 0006 0006 0007 .0007 0.3 .6179 .6217 .6255 6293 .6331 6368 6406 6443 6480 .6517 -3.1 0007 0007 .0008 0008 0008 0008 .0009 0009 0009 0010 0.4 .6554 659 6628 .6664 5700 6/36 6772 6808 6844 6879 -3.0 .0010 .0011 .0011 .0011 .0012 0012 .0013 .0013 .0013 0.5 .6915 .6950 .6985 ,7054 .7088 .7123 .7157 7190 ,7224 -2.9 0014 0014 .0015 0015 .0016 .0016 .0017 .0018 .0018 .0019 0.6 .7257 .7291 .7324 .7357 ,7389 .7422 .7454 .7486 .7517 .7549 -2.8 0019 0020 0021 0021 002 0023 0023 0024 0025 0026 0.7 .7580 .7611 .7642 7673 .7704 7734 .7764 .7794 7823 .7852 -2.7 .0026 .0027 .0028 .0029 .0030 .0031 .0032 .0033 .0034 .0035 0.8 7881 .7910 .7939 .7967 .7995 .8023 .8051 8078 .8106 8133 -2.6 0036 0037 0038 0039 .0040 0041 0043 0044 0045 .0047 0.9 8159 .8186 8212 .8238 .8264 .8289 .8315 8340 .8365 .8389 -2.5 .0048 0049 .0051 0052 005 0055 .0057 0059 0060 0062 8413 .8438 8461 .8485 .8508 8531 .8554 8577 8599 .8621 -2.4 .0064 0066 .0068 .0069 .0071 0073 .0075 0078 .0080 .0082 1.0 1.1 .8643 .8665 .8686 .8708 .8729 8749 8770 8790 .8810 .8830 -2.3 .0084 .0087 0089 .0091 0094 .0096 0099 0102 .0104 .0107 1.2 8849 8869 8888 8907 8925 .8944 8962 8980 8997 .9015 -2.2 0110 0113 0116 .0119 0122 0125 .0129 .0132 0136 .0139 1.3 9032 904 9066 9082 9099 9115 9131 9147 9162 9177 -2.1 .0143 .0146 .0150 .0154 0158 0162 .0166 0170 .0174 .0179 1.4 .9207 9222 .9236 .9251 .9265 9279 .9292 .9306 9319 -2.0 0183 0188 0192 0197 0202 0207 0212 0217 .0222 0228 1.5 .9332 .9345 .9357 .9370 .9382 9394 9406 .9418 9429 .9441 -1.9 0233 0239 0244 0250 025 0262 .0268 0274 .0281 .0287 1.6 .9452 9463 .9474 .9484 9495 9505 9515 .9525 9535 .9545 -1.8 .0294 .0301 0307 .0314 .0322 .0329 .0336 .0344 .0351 .0359 1.7 .9554 .9564 9573 .9582 .9591 .9599 .9608 .9616 .9625 .9633 -1.7 0367 .0375 .0384 .0392 .0401 .0409 .0418 .0427 .0436 .0446 1.8 9641 9649 9656 .9664 9671 9678 9686 9693 9699 .9706 -1.6 0455 .0465 .0475 0485 .0495 0505 .0516 .0526 .0537 .0548 1.9 9713 971 9726 9732 9738 9744 9750 .9756 .9761 9767 -1.5 .0559 .0571 .0594 0606 0618 .0630 .0643 .0655 .0568 2.0 9772 9778 9/83 9788 .9793 9798 .9803 .9808 9812 9817 -1.4 0681 0694 0708 0721 0735 0749 0764 0778 0793 0808 2.1 .9821 .9826 .9830 9834 9838 .9842 .9846 .9850 9854 9857 -1.3 0823 0838 0853 0869 0885 0901 .0918 .0934 .0951 0968 2.2 .9861 9864 9868 9871 9875 987 9881 .9884 9887 9890 -1.2 .0985 .1003 .1020 .1038 .1056 1075 .1093 .1112 .1131 .1151 2.3 .9893 9896 9898 .9901 .9904 .9906 9909 .9911 9913 ,9916 -1.1 -1170 .1190 .1210 .1230 .1251 .1271 .1292 .1314 .1335 .1357 2.4 .9918 9920 9922 .9925 9927 9929 9931 9932 9934 .9936 -1.0 .1379 .1401 .1423 .1446 .1469 .1492 .1515 .1539 .1562 .1587 9938 9940 .9941 .9943 .9945 994 9948 .9949 9951 9952 -0.9 .1611 .1635 .1660 .1685 .1711 .1736 .1762 .1788 . 1814 .1841 2.5 2.6 .9953 .9955 .9956 9957 .9959 9960 9961 .9962 9963 .9964 - 0.8 1867 1894 .1922 .1949 .1977 .2005 .2033 .2061 .2090 .2119 2.7 .9965 9966 9967 .9968 .9969 .9970 9971 9972 9973 .9974 - 0.7 2148 2177 .2206 .2236 2266 2296 .2327 .2358 .2389 .2420 2.8 9974 9975 9976 9977 9977 9978 9979 9979 .9980 9981 -0.6 .2451 .2483 2514 .2546 .2578 .2611 .2643 2676 .2709 .2743 .9981 .9982 .9982 .9983 .9984 .9984 9985 .9985 .9986 .9986 -0.5 .2776 .2810 2843 .2877 .2912 .2946 .2981 .3015 .3050 3085 9987 9987 9987 9988 9988 9980 9989 9989 9990 9990 -0.4 3121 .3156 .3192 3228 .3264 .3300 .3336 .3372 .3409 .3446 3.1 9990 9991 9991 9991 9992 9992 9997 9992 9993 9993 -0.3 .3483 .3520 .3557 .3594 .3632 .3669 .3707 .3745 3783 ,3821 3.2 .9993 .9993 .9994 .9994 .9994 .9994 .9994 9995 .9995 .9995 - 0.2 3859 3897 .3936 .397 4013 4052 4090 4129 4168 4207 3.3 .9995 .9995 9995 .9996 .9996 .9996 9996 .9996 9996 .9997 -0.1 4247 4286 .4325 .4364 .4404 .4443 .4483 4522 4562 .4602 3.4 .9997 9997 .9997 .9997 9997 .9997 9997 .9997 .9997 .9998 - 0.0 .4641 .4681 .4721 .4761 .4801 .4840 .4880 4920 .4960 .5000