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The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket. Airfares were based on the total ticket value, which consisted of the price charged by the airlines plus any additional taxes and fees. Assume domestic airfares are normally distributed with a standard deviation of $100. Use Table 1 in Appendix B. a. What is the probability that a domestic airfare is $540 or more (to 4 decimals)? b. What is the probability that a domestic airfare is $240 or less (to 4 decimals)? c. What if the probability that a domestic airfare is between $300 and $500 (to 4 decimals)? d. What is the cost for the 3% highest domestic airfares? (rounded to nearest dollar)

The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket. Airfares were based on the total ticket value, which consisted of the price charged by the airlines plus any additional taxes and fees. Assume domestic airfares are normally distributed with a standard deviation of $100. Use Table 1 in Appendix B. a. What is the probability that a domestic airfare is $540 or more (to 4 decimals)? b. What is the probability that a domestic airfare is $240 or less (to 4 decimals)? c. What if the probability that a domestic airfare is between $300 and $500 (to 4 decimals)? d. What is the cost for the 3% highest domestic airfares? (rounded to nearest dollar)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket. Airfares were based on the total ticket value, which consisted of the price charged by the airlines plus any additional taxes and fees. Assume domestic airfares are normally distributed with a standard deviation of $100. Use Table 1 in Appendix B.

a. What is the probability that a domestic airfare is $540 or more (to 4 decimals)?

b. What is the probability that a domestic airfare is $240 or less (to 4 decimals)?

c. What if the probability that a domestic airfare is between $300 and $500 (to 4 decimals)?

d. What is the cost for the 3% highest domestic airfares? (rounded to nearest dollar)

TABLE 1 CUMULATIVE PROBABILITIES FOR THE STANDARD NORMAL DISTRIBUTION Entries in the table Q give the area under the curve to the left of the Cumulative probability z value. For example, for z=-.85, the cumulative probability is .1977. .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.0 .0013 .0013 .0013 .0012 .0012 .0011 .0011 .0011 .0010 .0010 -2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014 -2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0021 .0021 .0020 .0019 -2.7 .0035 .0034 .0033 .0032 .0031 .0030 .0029 .0028 .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 -24 .0082 .0080 .0078 .0075 .0073 .0071 .0069 .0068 .0066 .0064 -2.3 .0107 .0104 .0102 .0099 .0096 .0094 .0091 .0089 .0087 .0084 -2.2 .0139 .0136 .0132 .0129 .0125 .0122 .0119 .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 .0233 -1.8 .0359 .0351 .0344 .0336 .0329 .0322 .0314 .0307 .0301 .0294 .0375 .0465 -1.7 .0446 .0436 .0427 .0418 .0409 .0401 .0392 .0384 .0367 -1.6 -1.5 .0548 .0537 .0526 .0516 .0505 .0495 .0485 .0475 .0455 .0668 .0655 .0643 .0630 .0618 .0606 .0594 .0582 .0571 .0559 -1.4 .0808 .0793 .0778 .0764 .0749 .0735 .0721 .0708 .0694 .0681 -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 .1190 .1170 -1.0 .1587 .1562 .1539 .1515 .1492 .1469 .1446 .1423 .1401 .1379 -9 .1841 .1814 .1788 .1762 .1736 .1711 .1685 .1660 .1635 .1611 -.8 .2119 .2090 .2061 .2033 2005 .1977 .1949 .1922 .1894 .1867 -.7 .2420 .2389 .2358 .2327 .2296 .2266 .2236 .2206 .2177 .2148 -.6 .2743 .2709 .2676 .2643 .2611 2578 .2546 .2514 .2483 2451 -5 .3085 .3050 .3015 .2981 .2946 .2912 .2877 .2843 .2810 .2776 -4 3446 .3409 .3372 .3336 .3300 .3264 .3228 .3192 .3156 .3121 -3 .3821 .3783 .3745 .3707 .3669 .3632 .3594 .3557 .3520 .3483 .4052 .4443 -2 .4207 .4168 4129 .4090 4013 .3974 .3936 .3897 .3859 -1 .4602 .4562 .4522 4483 4404 4364 .4325 .4286 4247 -.0 .5000 .4960 .4920 .4880 .4840 4801 4761 .4721 .4681 .4641
Transcribed Image Text:TABLE 1 CUMULATIVE PROBABILITIES FOR THE STANDARD NORMAL DISTRIBUTION Entries in the table Q give the area under the curve to the left of the Cumulative probability z value. For example, for z=-.85, the cumulative probability is .1977. .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.0 .0013 .0013 .0013 .0012 .0012 .0011 .0011 .0011 .0010 .0010 -2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014 -2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0021 .0021 .0020 .0019 -2.7 .0035 .0034 .0033 .0032 .0031 .0030 .0029 .0028 .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 -24 .0082 .0080 .0078 .0075 .0073 .0071 .0069 .0068 .0066 .0064 -2.3 .0107 .0104 .0102 .0099 .0096 .0094 .0091 .0089 .0087 .0084 -2.2 .0139 .0136 .0132 .0129 .0125 .0122 .0119 .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 .0233 -1.8 .0359 .0351 .0344 .0336 .0329 .0322 .0314 .0307 .0301 .0294 .0375 .0465 -1.7 .0446 .0436 .0427 .0418 .0409 .0401 .0392 .0384 .0367 -1.6 -1.5 .0548 .0537 .0526 .0516 .0505 .0495 .0485 .0475 .0455 .0668 .0655 .0643 .0630 .0618 .0606 .0594 .0582 .0571 .0559 -1.4 .0808 .0793 .0778 .0764 .0749 .0735 .0721 .0708 .0694 .0681 -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 .1190 .1170 -1.0 .1587 .1562 .1539 .1515 .1492 .1469 .1446 .1423 .1401 .1379 -9 .1841 .1814 .1788 .1762 .1736 .1711 .1685 .1660 .1635 .1611 -.8 .2119 .2090 .2061 .2033 2005 .1977 .1949 .1922 .1894 .1867 -.7 .2420 .2389 .2358 .2327 .2296 .2266 .2236 .2206 .2177 .2148 -.6 .2743 .2709 .2676 .2643 .2611 2578 .2546 .2514 .2483 2451 -5 .3085 .3050 .3015 .2981 .2946 .2912 .2877 .2843 .2810 .2776 -4 3446 .3409 .3372 .3336 .3300 .3264 .3228 .3192 .3156 .3121 -3 .3821 .3783 .3745 .3707 .3669 .3632 .3594 .3557 .3520 .3483 .4052 .4443 -2 .4207 .4168 4129 .4090 4013 .3974 .3936 .3897 .3859 -1 .4602 .4562 .4522 4483 4404 4364 .4325 .4286 4247 -.0 .5000 .4960 .4920 .4880 .4840 4801 4761 .4721 .4681 .4641
TABLE 1 CUMULATIVE PROBABILITIES FOR THE STANDARD NORMAL DISTRIBUTION (Continued) Cumulative Entries in the table probability give the area under the curve to the left of the z value. For example, for z = 1.25, the cumulative probability is .8944. .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .0 .5000 .5040 .5080 .5120 .5160 .5199 .5239 .5279 .5319 .5359 .1 .5398 .5438 .5478 .5517 .5557 5596 .5636 .5675 .5714 .5753 .2 .5793 .5832 .5871 .5910 .5948 .5987 .6026 .6064 .6103 .6141 .3 .6179 .6217 .6255 .6293 .6331 .6368 .6406 .6443 .6480 .6517 .4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 .5 .6915 .6950 .6985 .7019 .7054 .7088 .7123 .7157 .7190 .7224 .6 .7257 .7291 .7324 .7357 .7389 .7422 .7454 .7486 .7517 .7549 .7 .7580 .7611 .7642 .7673 .7704 .7734 .7764 .7794 .7823 .7852 .8 .7881 .7910 .7939 .7967 .7995 .8023 .8051 .8078 .8106 .8133 .9 .8159 .8186 .8212 .8238 .8264 .8289 .8315 .8340 .8365 .8389 .8554 .8577 8790 1.0 .8413 .8438 .8461 .8485 .8508 .8531 .8599 .8621 1.1 .8643 .8665 .8686 .8708 .8729 .8749 .8770 .8810 .8830 1.2 .8849 .8869 .8888 .8907 .8925 .8944 .8962 .8980 .8997 .9015 1.3 .9032 .9049 .9066 .9082 9099 9115 .9131 .9147 .9162 .9177 1.4 .9192 .9207 .9222 .9236 .9251 .9265 9279 .9292 .9306 9319 1.5 .9332 .9345 .9357 .9370 .9382 .9394 .9406 .9418 .9429 9535 .9441 1.6 .9452 .9463 .9474 .9484 .9495 .9505 .9515 .9525 .9545 .9616 9693 1.7 .9554 .9564 .9573 .9582 .9591 .9599 .9608 .9625 .9633 1.8 .9641 .9649 .9656 .9664 .9671 .9678 .9686 .9699 .9706 1.9 .9713 .9719 .9726 .9732 .9738 .9744 .9750 .9756 9761 .9767 .9808 .9850 2.0 .9772 .9778 .9783 .9788 .9793 .9798 .9803 .9812 .9817 2.1 .9821 .9826 .9830 .9834 .9838 .9842 .9846 .9854 .9857 2.2 .9861 .9864 .9868 .9871 .9875 .9878 .9881 .9884 .9887 .9890 2.3 .9893 .9896 .9898 .9901 .9904 .9906 .9909 .9911 .9913 .9916 2.4 9918 .9920 .9922 .9925 .9927 .9929 .9931 .9932 .9934 .9936 2.5 .9938 .9940 .9941 .9943 .9945 9946 .9948 .9949 .9951 .9952 9955 9961 .9964 .9974 2.6 .9953 .9956 .9957 .9959 .9960 9962 .9963 .9973 2.7 .9965 .9966 .9967 .9968 .9969 .9970 .9971 .9972 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 of
Transcribed Image Text:TABLE 1 CUMULATIVE PROBABILITIES FOR THE STANDARD NORMAL DISTRIBUTION (Continued) Cumulative Entries in the table probability give the area under the curve to the left of the z value. For example, for z = 1.25, the cumulative probability is .8944. .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .0 .5000 .5040 .5080 .5120 .5160 .5199 .5239 .5279 .5319 .5359 .1 .5398 .5438 .5478 .5517 .5557 5596 .5636 .5675 .5714 .5753 .2 .5793 .5832 .5871 .5910 .5948 .5987 .6026 .6064 .6103 .6141 .3 .6179 .6217 .6255 .6293 .6331 .6368 .6406 .6443 .6480 .6517 .4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 .5 .6915 .6950 .6985 .7019 .7054 .7088 .7123 .7157 .7190 .7224 .6 .7257 .7291 .7324 .7357 .7389 .7422 .7454 .7486 .7517 .7549 .7 .7580 .7611 .7642 .7673 .7704 .7734 .7764 .7794 .7823 .7852 .8 .7881 .7910 .7939 .7967 .7995 .8023 .8051 .8078 .8106 .8133 .9 .8159 .8186 .8212 .8238 .8264 .8289 .8315 .8340 .8365 .8389 .8554 .8577 8790 1.0 .8413 .8438 .8461 .8485 .8508 .8531 .8599 .8621 1.1 .8643 .8665 .8686 .8708 .8729 .8749 .8770 .8810 .8830 1.2 .8849 .8869 .8888 .8907 .8925 .8944 .8962 .8980 .8997 .9015 1.3 .9032 .9049 .9066 .9082 9099 9115 .9131 .9147 .9162 .9177 1.4 .9192 .9207 .9222 .9236 .9251 .9265 9279 .9292 .9306 9319 1.5 .9332 .9345 .9357 .9370 .9382 .9394 .9406 .9418 .9429 9535 .9441 1.6 .9452 .9463 .9474 .9484 .9495 .9505 .9515 .9525 .9545 .9616 9693 1.7 .9554 .9564 .9573 .9582 .9591 .9599 .9608 .9625 .9633 1.8 .9641 .9649 .9656 .9664 .9671 .9678 .9686 .9699 .9706 1.9 .9713 .9719 .9726 .9732 .9738 .9744 .9750 .9756 9761 .9767 .9808 .9850 2.0 .9772 .9778 .9783 .9788 .9793 .9798 .9803 .9812 .9817 2.1 .9821 .9826 .9830 .9834 .9838 .9842 .9846 .9854 .9857 2.2 .9861 .9864 .9868 .9871 .9875 .9878 .9881 .9884 .9887 .9890 2.3 .9893 .9896 .9898 .9901 .9904 .9906 .9909 .9911 .9913 .9916 2.4 9918 .9920 .9922 .9925 .9927 .9929 .9931 .9932 .9934 .9936 2.5 .9938 .9940 .9941 .9943 .9945 9946 .9948 .9949 .9951 .9952 9955 9961 .9964 .9974 2.6 .9953 .9956 .9957 .9959 .9960 9962 .9963 .9973 2.7 .9965 .9966 .9967 .9968 .9969 .9970 .9971 .9972 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 of
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