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John drives to work each morning, and the trip takes an average of u = 38 minutes. The distribution of driving times is approximately normal with a standard deviation of o = 5 minutes. For a randomly selected morning, what is the probability that John's drive to work will take less than 35 minutes?

John drives to work each morning, and the trip takes an average of u = 38 minutes. The distribution of driving times is approximately normal with a standard deviation of o = 5 minutes. For a randomly selected morning, what is the probability that John's drive to work will take less than 35 minutes?

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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APPENDIX B Statistical Tables (A) (a) Proportion in Body (A Proportion in Ta Proportion Between Mean and z Proportion in Body Proportion in Tail (D) Proportion Between Mean and z 0.50 051 6915 3085 3050 3015 .1915 1.00 3413 1587 3413 1950 .1950 1985 2019 348 1.01 1.00 1562 1539 1515 1492 0.52 8461 TABLE B.1 THE UNIT NORMAL TABLE 3461 3485 0.53 2019 1.03 L04 S485 8508 7054 2946 2054 3508 0.55 7088 7123 J157 2912 2877 2068 105 L06 8531 RS54 1469 "Column A lists zsoore vales. A venical line deaun through a nomal distribution at a 2scone location divides the distribution into two sections. 0.36 0.57 2123 2157 2190 3531 3554 3577 1446 .1423 2843 2810 8S77 Column B identifies the proportion in the larger section, called the hody. Column Cidentifies the proportion in the smaller section, called the Avil. Column D identifies the proportion between the mean and the z-score. Note: Because the nomal distribation is symmetrical, the proportions for negative z-ores e the same as those for positive zscores 7190 7224 LOS 3999 0.99 224 2257 2291 1379 0.00 7257 7201 7124 2743 LIO LII 8643 .1357 3643 3665 061 1335 1314 0,63 0.64 276 2643 2611 2324 237 2389 L12 1.13 3686 370 7357 1292 1271 7389 1.14 3729 3729 0.65 0.66 7422 2578 2546 2514 2422 1.15 1251 1230 3749 lody .7454 0.67 068 2454 2486 2517 1.16 1.17 8770 8790 1210 J190 3770 3790 3810 2483 2451 L18 L19 8810 8830 0.09 7549 259 3830 0.20 0.71 0.72 2430 2580 1.20 121 8849 3349 3869 J611 J642 7673 7304 2611 2642 0.73 0,74 2358 2327 26T3 204 1.22 1.23 124 J12 1093 3907 3025 (A) (a) Proportion in Body (A Proportian Body Propartion Between Mean and z 2296 Proportion in Tal Proportion Between Mean and z Proportion in Ta 0.75 0.76 7734 2734 2764 1.25 1.26 8944 1056 3944 -7764 2236 2206 2177 2148 8962 0.00 001 5000 3040 SO60 077 0.78 7794 7823 2794 2823 2852 5000 .0000 0.25 0.26 5987 A013 4960 4920 3974 3036 1.27 1.28 3980 3997 0040 3907 0.02 1064 0.79 T852 027 0.28 1.29 9015 A015 0120 6103 5120 S160 030 2119 1.30 9032 9049 A032 029 1141 7910 7939 004 6141 081 082 083 2910 2939 2067 1.31 1.32 INSI 0934 6179 1179 1217 12s5 0199 0.30 3199 5230 2061 2033 2005 A06 476 4721 0239 0279 031 0.32 033 3783 7967 7995 133 134 0.06 902 084 3745 3707 0,07 2995 5279 5319 6293 1293 J331 085 3023 1977 3003 3051 135 136 9115 .9131 4115 4131 0.09 A641 0359 034 1949 1922 1894 9147 9162 5398 035 3078 4602 A562 137 1.38 1.99 0853 0.36 0.37 4147 4162 4177 0438 6406 6443 3106 3133 348 5478 5517 3557 8133 3557 520 1443 1867 AS22 4483 9177 O823 0517 013 014 038 0.39 0.90 1841 1814 1788 3139 3186 192 9207 9222 140 A192 4443 015 a16 040 041 091 0.92 093 1.41 1.42 1.43 3446 (1554) 1591 1628 8212 K238 A212 3238 4404 6554 6591 4222 A364 A325 426 4247 0636 3409 3372 1762 1736 O764 0349 0675 0714 094 3264 3 3315 3340 3365 5675 5714 042 1.44 9251 0.17 0.18 0.19 4251 0.95 1711 145 1.46 147 735 0721 0708 0694 044 600 3300 1700 9279 9292 9306 9319 096 0.97 8315 K340 4279 4292 20 021 0.22 0.23 1736 1772 3793 S832 5871 5910 045 046 0.47 4207 A168 6736 6772 3264 3228 OK32 0.98 365 1635 148 L49 4306 4319 3192 4129 4090 1611 3389 .0681 1844 1879 0910 048 4 0.24 5948 0.49 3121
Transcribed Image Text:APPENDIX B Statistical Tables (A) (a) Proportion in Body (A Proportion in Ta Proportion Between Mean and z Proportion in Body Proportion in Tail (D) Proportion Between Mean and z 0.50 051 6915 3085 3050 3015 .1915 1.00 3413 1587 3413 1950 .1950 1985 2019 348 1.01 1.00 1562 1539 1515 1492 0.52 8461 TABLE B.1 THE UNIT NORMAL TABLE 3461 3485 0.53 2019 1.03 L04 S485 8508 7054 2946 2054 3508 0.55 7088 7123 J157 2912 2877 2068 105 L06 8531 RS54 1469 "Column A lists zsoore vales. A venical line deaun through a nomal distribution at a 2scone location divides the distribution into two sections. 0.36 0.57 2123 2157 2190 3531 3554 3577 1446 .1423 2843 2810 8S77 Column B identifies the proportion in the larger section, called the hody. Column Cidentifies the proportion in the smaller section, called the Avil. Column D identifies the proportion between the mean and the z-score. Note: Because the nomal distribation is symmetrical, the proportions for negative z-ores e the same as those for positive zscores 7190 7224 LOS 3999 0.99 224 2257 2291 1379 0.00 7257 7201 7124 2743 LIO LII 8643 .1357 3643 3665 061 1335 1314 0,63 0.64 276 2643 2611 2324 237 2389 L12 1.13 3686 370 7357 1292 1271 7389 1.14 3729 3729 0.65 0.66 7422 2578 2546 2514 2422 1.15 1251 1230 3749 lody .7454 0.67 068 2454 2486 2517 1.16 1.17 8770 8790 1210 J190 3770 3790 3810 2483 2451 L18 L19 8810 8830 0.09 7549 259 3830 0.20 0.71 0.72 2430 2580 1.20 121 8849 3349 3869 J611 J642 7673 7304 2611 2642 0.73 0,74 2358 2327 26T3 204 1.22 1.23 124 J12 1093 3907 3025 (A) (a) Proportion in Body (A Proportian Body Propartion Between Mean and z 2296 Proportion in Tal Proportion Between Mean and z Proportion in Ta 0.75 0.76 7734 2734 2764 1.25 1.26 8944 1056 3944 -7764 2236 2206 2177 2148 8962 0.00 001 5000 3040 SO60 077 0.78 7794 7823 2794 2823 2852 5000 .0000 0.25 0.26 5987 A013 4960 4920 3974 3036 1.27 1.28 3980 3997 0040 3907 0.02 1064 0.79 T852 027 0.28 1.29 9015 A015 0120 6103 5120 S160 030 2119 1.30 9032 9049 A032 029 1141 7910 7939 004 6141 081 082 083 2910 2939 2067 1.31 1.32 INSI 0934 6179 1179 1217 12s5 0199 0.30 3199 5230 2061 2033 2005 A06 476 4721 0239 0279 031 0.32 033 3783 7967 7995 133 134 0.06 902 084 3745 3707 0,07 2995 5279 5319 6293 1293 J331 085 3023 1977 3003 3051 135 136 9115 .9131 4115 4131 0.09 A641 0359 034 1949 1922 1894 9147 9162 5398 035 3078 4602 A562 137 1.38 1.99 0853 0.36 0.37 4147 4162 4177 0438 6406 6443 3106 3133 348 5478 5517 3557 8133 3557 520 1443 1867 AS22 4483 9177 O823 0517 013 014 038 0.39 0.90 1841 1814 1788 3139 3186 192 9207 9222 140 A192 4443 015 a16 040 041 091 0.92 093 1.41 1.42 1.43 3446 (1554) 1591 1628 8212 K238 A212 3238 4404 6554 6591 4222 A364 A325 426 4247 0636 3409 3372 1762 1736 O764 0349 0675 0714 094 3264 3 3315 3340 3365 5675 5714 042 1.44 9251 0.17 0.18 0.19 4251 0.95 1711 145 1.46 147 735 0721 0708 0694 044 600 3300 1700 9279 9292 9306 9319 096 0.97 8315 K340 4279 4292 20 021 0.22 0.23 1736 1772 3793 S832 5871 5910 045 046 0.47 4207 A168 6736 6772 3264 3228 OK32 0.98 365 1635 148 L49 4306 4319 3192 4129 4090 1611 3389 .0681 1844 1879 0910 048 4 0.24 5948 0.49 3121
John drives to work each morning, and the trip takes an average of u = 38 minutes. The distribution of driving times is approximately normal with a standard deviation of o = 5 minutes. For a randomly selected morning, what is the probability that John's drive to work will take less than 35 minutes?
Transcribed Image Text:John drives to work each morning, and the trip takes an average of u = 38 minutes. The distribution of driving times is approximately normal with a standard deviation of o = 5 minutes. For a randomly selected morning, what is the probability that John's drive to work will take less than 35 minutes?
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