Question

Provided N(0, 1) and without using the LSND program, find P( - 2 <3 <0)

Answer 1

Standard Normal Probabilities Table entry Table entry for z is the area under the standard normal curve to the left of z. .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .5000 סכככ. 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 .5793 .6179 .6554 .6915 .7257 .7580 .7881 .8159 .8413 .8643 .8849 .9032 .9192 .9332 .9452 .9554 .9641 .5040 .5438 .5832 .6217 .6591 .6950 .7291 .7611 .7910 .8186 .8438 .8665 .8869 .9049 .9207 .9345 .9463 .9564 .9649 .9719 .9778 .9826 .9864 .9896 .9920 .9940 .9955 .9966 .9975 .9982 .9987 .9991 .9993 .9995 .9997 .5080 .5478 .5871 .6255 .6628 .6985 .7324 .7642 .7939 .8212 .8461 .8686 .8888 .9066 .9222 .9357 .9474 .9573 .9656 .9726 .9783 .9830 .9868 .9898 .9922 .9941 .9956 .9967 .9976 .9982 .9987 .9991 .9994 .9995 .9997 .5120 .5517 .5910 .6293 .6664 .7019 .7357 .7673 .7967 .8238 .8485 .8708 .8907 .9082 .9236 .9370 .9484 .9582 .9664 .9732 .9788 .9834 .9871 .9901 .9925 .9943 .9957 .9968 .9977 .9983 .9988 .9991 .9994 .9996 .9997 .5160 .5557 .5948 .6331 .6700 .7054 .7389 .7704 .7995 .8264 .8508 .8729 .8925 .9099 .9251 .9382 .9495 .9591 .9671 .9738 .9793 .9838 .9875 .9904 .9927 .9945 .9959 .9969 .9977 .9984 .9988 .9992 .9994 .9996 .9997 .5199 .5596 .5987 .6368 .6736 .7088 .7422 .7734 .8023 .8289 .8531 .8749 .8944 .9115 .9265 .9394 .9505 .9599 .9678 .9744 .9798 .9842 .9878 .9906 .9929 .9946 .9960 .9970 .9978 .9984 .9989 .9992 .9994 .9996 .9997 .5239 .5636 .6026 .6406 .6772 .7123 .7454 .7764 .8051 .8315 .8554 .8770 .8962 .9131 .9279 .9406 .9515 .9608 .9686 .9750 .9803 .9846 .9881 .9909 .9931 .9948 .9961 .9971 .9979 .9985 .9989 .9992 .9994 .9996 .9997 .5279 .5675 .6064 .6443 .6808 .7157 .7486 .7794 .8078 .8340 .8577 .8790 .8980 .9147 .9292 .9418 .9525 .9616 .9693 .9756 .9808 .9850 .9884 .9911 .9932 .9949 .9962 .9972 .9979 .9985 .9989 .9992 .9995 .9996 .9997 .5319 .5714 .6103 .6480 .6844 .7190 .7517 .7823 .8106 .8365 .8599 .8810 .8997 .9162 .9306 .9429 .9535 .9625 .9699 .9761 .9812 .9854 .9887 .9913 .9934 .9951 .9963 .9973 .9980 .9986 .9990 .9993 .9995 .9996 .9997 .5359 .5753 .6141 .6517 .6879 .7224 .7549 .7852 .8133 .8389 .8621 .8830 .9015 .9177 .9319 .9441 .9545 .9633 .9706 .9767 .9817 .9857 .9890 .9916 .9936 .9952 .9964 .9974 .9981 .9986 .9990 .9993 .9995 .9997 .9998 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 .9772 .302 .9861 .9893 .9918 .9938 .9953 .9965 .9974 3.0 .9987 3.2 3.3 3.4 .9993 .9995 .9997

Standard Normal Probabilities Table entry Table entry for z is the area under the standard normal curve to the left of z. .01 1,04 .09 -3.1 1.00 .02 -3.4 .0003 .0003 .0003 -3.3 .0005 .0005 .0005 -3.2 .0007.00070006 .0010 .0009.0009 -3.0 .0013 .0013.0013 -2.9 .0019 .0018 .0018 -2.8 .0026 .00250024 -2.7 .0035 .0034 0033 -2.6 .0047 .00450044 -2.5 .0062 .00600059 -2.4 .0082 .0080.0078 -2.3 .0107 .0104 0102 -2.2 .0139.0136 0132 0174 0170 -2.0.0228 02220217 U207 0281.0274 -1.8 .0359 .0351 0344 -1.7 .0446 .0436 0427 -1.6 .0548 .05370526 -1.5 .0668 .06550643 -1.4 .0808 .07930778 -1.3.0968 .0951 0934 -1.2 1151 .11311112 126 1335 .1314 -1.0 1587 1562 .1539 1814 1788 -0.8 2119 .2090 .2061 .2420 .2389 .2358 -0.6 .2709 .2676 -0.5 .3085 .3050 3015 -0.4 .3446 .3409 3372 -0.3 .3821 .3783 .3745 -0.2 .4207 .4168 .4129 -0.1 .4602 .4562 .4522 -0.0 .5000 .4960 .4920 .03 ,05 1.06 1.07 .08 .0003 .0003 .0003 .0003 .0003 .0003 .0002 .0004 .0004 .0004 .0004 .0004 .0004 .0003 .0006 .0006.0006 .000 .0005 .0005 .0005 .0009 .0008 0008.0008.0008 .0007 .0007 .0012.0012 .0011.0011.0011 .0010 .0010 .0017 .0016 .0016 .0015 .00150014 .0014 .0023 .0023 .0022 .0021.0021 .0020 .0019 .0032.0031 .0030 .0029.0028 ,0027 .0026 .0043 .0041.0040.0039.0038 .0037 .0036 .0057 .0055 .0054 .0052 0051 .0049 .0048 .0075.0073.0071.0069.0068 .0066 .0064 .0099 .0096 .0094 .0091 .0089 .0087 .0084 .0129.0125 .0122.0119.0116 0113 .0110 .0166 .0162 .0158 0154 .0150 .0146 .0143 0212 .0207 .0202.0197 .0192 .0188 .0183 .0268 .0262 .0256 .0250 .0244 .0239 .0233 .0336 .0329 0322.0314 .0307 .0301 .0294 .0418 .0409 .0401 .0392 .0384 .0375 .0367 .0516 .0505 .0495.0485.0475 .0465 .0455 .0630 .0618 .0606 .0594.0582 .0571 .0559 .0764 .0749 0735 .0721 .0708 ,0694 .0681 .0901 .0885 .0869 .0853 .0838 .0823 .1093 1075 .1056 1038 1020 1003 .0985 .1292 .1271 .1251 .1230 .1210 .1190 .1170 1515 .1492 1469 .1446 .1423 .1401 1379 .1762 1736 .1711 .1685 .1660 .1635 1611 .2033 .2005 .1977 .1949 1922 .1894 1867 .2327 .2296 .2266 .2236 .2206 2177 2148 .2643 .2611 .2578 2546 .2514 .2483 .2451 .2981 .2946 .2912 .2877 .2843 2810 .2776 .3336 .3300 .3264 .3228 .3192 .3156 .3121 .3707 .3669 .3632 .3594 .3557 .3520 .3483 .4090 .4052 .4013 .3974 .3936 .3897 .3859 .4483 .4443 .4404 .4364 .4325 .4286 .4247 .4880 .4840 .4801 .4761 .4721 .4681 4641 .0918 -0.7 .2743