Assume that the speed of automobiles on an expressway during rush hour is normally distributed with a mean of 40 mph and a standard deviation of 4 mph. What percent of cars are traveling faster than 40 mph? Table of Areas to the Left of: When : Is Pasitive.0206030400soso 51205160 5199 5239 5279 5319 95478 5517 5557 5596 5636 5675 ST14751n S71 5910 5948 5987 026 064 6103 61416368 6406 6443 480 65176700 6736 6772 6808 6844 68707054 7088 7123 7157 7190 72247324 7357 7389 7422 7454 7486 7517 75497794 7823 78527939 7967 7995 8023 8051 8078 S106 813309 8159 186 8212 8238 8264 8289 8315 8340 365 S3898485 8S08 8531 8554 8577 8599 86211 8643 S665 8686 8708 8729 8749 8770 8790 8810 K830s907 8925 8914 8962 8980 997 90159066 9082 9099 9115 9131 9147 9162 91779207 9222 9236 9251 9265 279 9292 306 91199382 9394 9406 9418 9429 9419495 9505 515 9525 9535 95451.7 9554 9564 9573 9582 9591 9599 9608 9616 9625 9633968 9693 969 7069732 9738 9744 9750 9756 9761 97679812 98179854 985798909913 991699369952500050400.0539854380103 179 6217 6255 293 63316591 6628 6664985 701902 5793655469157257 72917580 76110.469500.5067642 7673 7704 .7734 77640.7O8 T881 791010 8413 S438 84611.288498869 888813 903290491491921.5 9332 9345 9357 937094841.6 9452 9463 94749641 9649 9656 9664 9671 96789726978398301.819 9713 071920 9772 97782.1 982121 9861 986423 98939788 9793 9798 98039834 9838980885098269842 98469587988499119868871987598789909986 989899229901990499069929 9931993424 99182.59938992099409955992599439927993299499945994699489951994199569967996499629972997999852.69953995799599960996199639973 997499819986997099719968997799692.72829 998130 9987996599669975997699779978997999809974998399849984998599869982998799019u82998899886866998686668669992066699929992999399933.1980990699949994y9949994169599953299959996999699969996900699969007990599979097999790079997999799979998349997than 3,19. oie 1000 o approxinate the area Table of Areas to the Left of : When : Is Negative00 .01 020304.050610709-34 0003IX003 00030003D0030003000300030003 0002-33 0005 0005 0005 00040004 0004 0004 00040004 0003-3.2 0007 0007 0006 0006 .0006 0006 06 0005 000531 0010 0009 0009 0009 0008 0O080008 0008 007 0007-3.0 0013 0013 0013 0012 0012 0011 0011 011 0010 001029 0019 0018 0018 017 0016 0016 0015 0015 0014 001428 0026 0025 024 0023 0023 0022 0021 0021 0020 001900027 0035 0034 0033 0032 0031 003026 0047 045 0044 0043 X04125 0062 0060 0059 0057 0055.0029 0028 0027 260038 J7D051 0049 004824 0082 0080 0078 D075 A073 0071 0069 06S 0066 06423 0107 0104 0102 0099 0096 0094 0091 0089 0087 0084-22 0139 0136 0132 0129 0125 0122 0119 0116 0113 0I1021 D179 0174 0170 0166 D162 0158 0154 0150 0146 014320 0228 0222 0217 0212 02070202 0197 0192 0188 018319 0287 0281 0274 0268 0262 0256 0250 0244 0239 0233-18 0199 0351 0344 0336 0329 0322 0314 0307 031 02941.7 0446 0436 0127 0418 0409 0401 0392 0384 0375 03670495 04S5 0475 D651945515 D68 0655 0643 0630 0618 0606 0594 Os82 0571 559-14 sOs 0793 0778 0764 0749 0735 072107S 0 0681O838 8230040 00390054 05216 0548 0537 0526 0516 0505O869085313 196s 0051 034 0918 0901 Os8512 11511131 H12 1093 1075 1056 1038 1020 1003 NSI 1357 J335 1314 1292 1271 1251 1230 1210 1190 J17010 1S7 J562 1539 1515 1492 1469 .1446 1423 1401 132909 1841 1814 1788 1762 1736 1711 1685 1660 1635 1611Os2119 2090 2061 2033 2005 977 1949 19922 4 672420 2389 2358 2327 22 226 2236 220 2177 2148743 09 2676 2643 2611 2576 2546 2514 2483 24513015 29812947 2912 2877 2543 2810 27763228 3192 3156 31213632 3594 3557 3520 3483a052 4013 3974 3936 3897 38590730503446 3409 3372 333638213300 3264043763 3745 3707 3669034207 4168 41292 AS62 4522 443 443son0 920 440024404 A3644325 A286 A247A8014761 4721 81 44

The normal distribution in the center are generally denser and basically less denser at tails.…

Answered: ssume that the speed of automobiles on…

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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Question

Assume that the speed of automobiles on an expressway during rush hour is normally distributed with a mean of 40 mph and a standard deviation of 4 mph. What percent of cars are traveling faster than 40 mph?

Table of Areas to the Left of: When : Is Pasitive
.02
06
03
04
00
soso 51205160 5199 5239 5279 5319 9
5478 5517 5557 5596 5636 5675 ST14751
n S71 5910 5948 5987 026 064 6103 6141
6368 6406 6443 480 6517
6700 6736 6772 6808 6844 6870
7054 7088 7123 7157 7190 7224
7324 7357 7389 7422 7454 7486 7517 7549
7794 7823 7852
7939 7967 7995 8023 8051 8078 S106 8133
09 8159 186 8212 8238 8264 8289 8315 8340 365 S389
8485 8S08 8531 8554 8577 8599 8621
1 8643 S665 8686 8708 8729 8749 8770 8790 8810 K830
s907 8925 8914 8962 8980 997 9015
9066 9082 9099 9115 9131 9147 9162 9177
9207 9222 9236 9251 9265 279 9292 306 9119
9382 9394 9406 9418 9429 941
9495 9505 515 9525 9535 9545
1.7 9554 9564 9573 9582 9591 9599 9608 9616 9625 9633
968 9693 969 706
9732 9738 9744 9750 9756 9761 9767
9812 9817
9854 9857
9890
9913 9916
9936
9952
5000
5040
0.0
5398
5438
01
03 179 6217 6255 293 6331
6591 6628 6664
985 7019
02 5793
6554
6915
7257 7291
7580 7611
0.4
6950
0.5
06
7642 7673 7704 .7734 7764
0.7
O8 T881 7910
10 8413 S438 8461
1.2
8849
8869 8888
13 9032
9049
14
9192
1.5 9332 9345 9357 9370
9484
1.6 9452 9463 9474
9641 9649 9656 9664 9671 9678
9726
9783
9830
1.8
19 9713 0719
20 9772 9778
2.1 9821
21 9861 9864
23 9893
9788 9793 9798 9803
9834 9838
9808
850
9826
9842 9846
9587
9884
9911
9868
871
9875
9878
9909
986 9898
9922
9901
9904
9906
9929 9931
9934
24 9918
2.5
9938
9920
9940
9955
9925
9943
9927
9932
9949
9945
9946
9948
9951
9941
9956
9967
9964
9962
9972
9979
9985
2.6
9953
9957
9959
9960
9961
9963
9973 9974
9981
9986
9970
9971
9968
9977
9969
2.7
28
29 9981
30 9987
9965
9966
9975
9976
9977
9978
9979
9980
9974
9983
9984
9984
9985
9986
9982
9987
9901
9u82
9988
9988
6866
998
6866
6866
9992
0666
9992
9992
9993
9993
3.1
980
9906
9994
9994
y994
9994
1695
9995
32
9995
9996
9996
9996
9996
9006
9996
9007
9905
9997
9097
9997
9007
9997
9997
9997
9998
34
9997
than 3,19. oie 1000 o approxinate the area

Table of Areas to the Left of : When : Is Negative
00 .01 02
03
04
.05
06
107
09
-34 0003
IX003 0003
0003
D003
00030003
0003
0003 0002
-33 0005 0005 0005 0004
0004 0004 0004 0004
0004 0003
-3.2 0007 0007 0006 0006 .0006 0006 06 0005 0005
31 0010 0009 0009 0009 0008 0O080008 0008 007 0007
-3.0 0013 0013 0013 0012 0012 0011 0011 011 0010 0010
29 0019 0018 0018 017 0016 0016 0015 0015 0014 0014
28 0026 0025 024 0023 0023 0022 0021 0021 0020 0019
000
27 0035 0034 0033 0032 0031 0030
26 0047 045 0044 0043 X041
25 0062 0060 0059 0057 0055
.0029 0028 0027 26
0038 J7
D051 0049 0048
24 0082 0080 0078 D075 A073 0071 0069 06S 0066 064
23 0107 0104 0102 0099 0096 0094 0091 0089 0087 0084
-22 0139 0136 0132 0129 0125 0122 0119 0116 0113 0I10
21 D179 0174 0170 0166 D162 0158 0154 0150 0146 0143
20 0228 0222 0217 0212 02070202 0197 0192 0188 0183
19 0287 0281 0274 0268 0262 0256 0250 0244 0239 0233
-18 0199 0351 0344 0336 0329 0322 0314 0307 031 0294
1.7 0446 0436 0127 0418 0409 0401 0392 0384 0375 0367
0495 04S5 0475 D6519455
15 D68 0655 0643 0630 0618 0606 0594 Os82 0571 559
-14 sOs 0793 0778 0764 0749 0735 072107S 0 0681
O838 823
0040 0039
0054 052
16 0548 0537 0526 0516 0505
O869
0853
13 196s 0051 034 0918 0901 Os85
12 11511131 H12 1093 1075 1056 1038 1020 1003 NS
I 1357 J335 1314 1292 1271 1251 1230 1210 1190 J170
10 1S7 J562 1539 1515 1492 1469 .1446 1423 1401 1329
09 1841 1814 1788 1762 1736 1711 1685 1660 1635 1611
Os2119 2090 2061 2033 2005 977 1949 19922 4 67
2420 2389 2358 2327 22 226 2236 220 2177 2148
743 09 2676 2643 2611 2576 2546 2514 2483 2451
3015 29812947 2912 2877 2543 2810 2776
3228 3192 3156 3121
3632 3594 3557 3520 3483
a052 4013 3974 3936 3897 3859
07
3050
3446 3409 3372 3336
3821
3300 3264
04
3763 3745 3707 3669
03
4207 4168 4129
2 AS62 4522 443 443
son0 920 440
02
4404 A3644325 A286 A247
A801
4761 4721 81 44

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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