Problem H: An experiment involves the normal random variable x with mean ? = 12.5 and

variance ?2 = 0.25.

(28) Refer to Problem H. Use Table 3 'Areas under the Normal Curve' given in the course

textbook (pp.690-691) to answer the question. Find the probability P (12.1

(1) 0.2119 (3) 0.5762

(2) 0.4238 (4) 0.7881

(29) Refer to Problem H. Use Table 3 'Areas under the Normal Curve' given in the course textbook (pp.690-691) to answer the question. Which of the following statements is correct?

(1) P(x0.5

(3) P(x

(2) P(x

(4) P(x

(30) Refer to Problem H. Use Table 3 'Areas under the Normal Curve' given in the course textbook (pp.690-691) to answer the question. Which of the following statements is correct?

(1) P(x+2?)

(3) P(x+3?)

(2) P(x+?)>P(x??)

(4) P(x+?)>P(x+2?)

690 O APPENDIX I TABLES Area 0 Z Table 3 Areas under the Normal Curve .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 .0003 .0003 .0003 .0003 .0003 0003 0003 .0003 .0003 0002 -3.3 0005 1005 0005 .0004 0004 .0004 004 0004 0004 0003 - 3.2 .0007 0007 0006 .0006 0006 0006 0006 .0005 0005 005 -3.1 0010 0009 0009 .0009 .0008 .0008 0008 .0008 0007 0007 -3.0 0013 0013 0013 0012 0012 0011 001 1 .0011 0010 0010 -2.9 .0019 .0018 .0017 .0017 .0016 .0016 .0015 .0015 .0014 .0014 -2.8 .0026 025 0024 .0023 .0023 022 0021 0021 020 0019 -2.7 .0035 0034 .0033 0032 0031 0030 0029 028 0027 .0026 -2.6 .0047 .0045 0044 0043 .0041 .0040 0039 .0038 .0037 .0036 -2.5 0062 0060 .0059 0057 .0055 .0054 0052 0051 0049 0048 -2.4 .0082 0080 .0078 .0075 .0073 .0071 .0069 .0068 .0066 .0064 - 2.3 0107 104 .0102 .0099 .0096 .0094 0091 .0089 008 0084 -2.2 .0139 .0136 0132 .0129 .0125 .0122 01 19 0116 .0113 .0110 - 2.1 0179 0174 .0170 .0166 0162 .0158 0154 .0150 .0146 .0143 -2.0 .0228 0222 0217 0212 .0207 .0202 0197 0192 0188 .0183 -1.9 .0287 0281 .0274 .0268 .0262 0256 0250 .0244 0239 233 -1.8 .0359 0351 0344 .0336 0329 .0322 314 0307 0301 0294 -1.7 .0446 0436 .0427 .0418 .0409 .0401 0392 .0384 .0375 0367 -1.6 .0548 0537 526 .0516 0505 .0495 0485 .0475 0465 455 -1.5 .0668 .0655 .0643 0630 .0618 .0606 0594 .0582 .0571 0559 -1.4 .0808 0793 .0778 0764 0749 0735 0722 708 0694 681 -1.3 .0968 0951 .0934 0918 .0901 .0885 0869 .0853 0838 .0823 -1.2 .1151 1131 .1112 . 1093 1075 .1056 1038 1020 1003 0985 -1.1 .1357 1335 .1314 1292 1271 1251 1230 1210 190 1 170 .1587 .1562 1539 1515 .1492 .1469 1446 .1423 .1401 .1379 -0.9 .1841 1814 1788 1762 1736 .1711 1685 1660 1635 .1611 -0.8 .2119 .2090 .2061 .2033 .2005 .1977 1949 .1922 1894 .1867 -0.7 .2420 .2389 .2358 .2327 2296 .2266 2236 2206 2177 2148 -0.6 2743 2709 .2676 .2643 2611 2578 2546 .2514 .2483 .2451 -0.5 .3085 3050 .3015 .2981 .2946 2912 .2877 2843 .2776 -0.4 .3446 .3409 .3372 .3336 3300 3264 .3228 3192 3156 .3121 -0.3 .3821 3783 .3745 3707 3669 .3632 3594 .3557 .3520 .3483 -0.2 4207 4168 4129 .4090 4052 4013 3974 .3936 .3897 .3859 -0.1 4602 .4562 .4522 .4483 4443 .4404 .4364 .4325 4286 4247 -0.0 .5000 .4960 .4920 .4880 .4840 .4801 4761 4721 .4681 .4641Table 3 (continued) 00 .01 02 03 .04 05 .06 .07 .08 .09 Z 0.0 500 5040 .5080 .5120 .5160 5199 5239 5279 5319 5359 0.1 .5398 5438 5478 .5517 .5557 .5596 .5636 .5675 .5714 .5753 0.2 .5793 5832 5871 5910 5948 .5987 6064 6103 .6141 .6179 6217 6255 6293 6331 6368 6406 6443 6480 .6517 0.3 6554 6591 6628 6664 6700 $736 6772 .6808 6844 6879 0.4 .6915 .6950 .6985 .7019 .7054 .7088 .7123 .7157 .7190 .7224 0.5 0.6 .7257 7291 7324 7357 .7389 7422 .7454 7486 .7517 .7549 0.7 .7580 .7611 .7642 .7673 7704 .7734 7764 .7794 7823 7852 0.8 7881 .7910 .7939 .7967 7995 8023 .8051 8078 .8106 8133 .8159 8186 8212 8238 .8264 8289 .8315 8340 8365 8389 0.9 1.0 8413 8438 8461 .8485 .8508 .8531 8554 8577 8599 8621 8665 .8686 8708 8729 .8749 8770 .8790 8810 8830 1.1 .8643 .8849 8869 8888 .8907 8925 .8944 .8962 .8980 8997 9015 1.2 1.3 9032 9049 9066 9082 9099 9115 9131 .9147 .9162 9177 14 .9192 .9207 9222 .9236 .9251 9265 9279 .9292 .9306 9319 1.5 .9332 .9345 .9357 .9370 9382 .9394 9406 9418 .9429 .9441 1.6 .9452 .9463 .9474 .9484 .9495 .9505 .9515 .9525 .9535 .9545 1.7 .9554 .9564 9573 9582 9591 9599 .9608 .9616 .9625 9633 9641 .9649 9656 9664 .9671 .9678 9686 9693 9699 9706 1.8 1.9 9713 9719 9726 9732 9738 9744 .9750 .9756 .9761 .9767 2.0 9772 9778 9783 9788 9793 .9798 .9803 9808 .9812 .9817 2.1 .9830 9834 .9838 9842 9846 9850 .9854 .9857 .9821 .9826 9890 2.2 9861 9864 9868 9871 .9875 .9878 9881 9884 9887 9916 2.3 .9893 .9896 9898 .9901 .9904 9906 9909 .9911 9913 24 .9918 .9920 .9922 .9925 .9927 .9929 .9931 .9932 9934 .9936 2.5 .9938 .9940 9941 .9943 .9945 .9946 .9948 .9949 .9951 .9952 2.6 .9953 .9955 9956 .9957 .9959 9960 9961 9962 .9963 9964 2.7 9965 9966 .9967 9968 9969 .9970 .9971 9972 9973 9974 2.8 .9974 .9975 .9976 .9977 .9977 .9978 9979 .9979 .9980 .9981 2.9 9981 9982 9982 .9983 9984 .9984 .9985 .9985 .9986 .9986 3.0 9987 9987 9987 9988 9988 9989 9989 9989 .9990 .9990 3.1 9990 9991 9991 9991 9992 9992 9992 9992 9993 9993 3.2 .9993 9993 9994 9994 .9994 9994 9994 9995 9995 9995 3 . 3 .9995 9995 .9995 .9996 .9996 .9996 .9996 .9996 .9996 9997 3.4 9997 9997 .9997 9997 .9997 .9997 .9997 .9997 .9997 .9998Problem H: An experiment involves the normal random variable x with mean it = 12.5 and variance 02 = 0.25. _____ (28) Refer to Problem H. Use Table 3 'Areas under the Normal Curve' given in the course textbook (pp.690691) to answer the question. Find the probability P(12.1 0.5 (3) P(:c P(mP(m