TABLE 1.2 0.00 0.010.020.03 0.04 0.05 0.06 0.07 0.08 0.09 Z 0.0 0.504 0.508 0.5120.516 0.5199 0.5239 0.5279 0.5319 0.5359 0.0 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.1 0.20.5793 0.5832 0.5871 0.591 0.5948 0.5987 06026 0.6064 0.6103 0.6141 0.2 6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.648 0.6517 0.3 6554 0.6591 0.6628 0.6664 0.670.6736 0.6772 0.6808 0.6844 0.6879 0.4 0.6915 0.695 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.719 0.7224 0.5 0.6 0.7257 0.7291 0.73240.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.6 0.758 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7 7881 0.791 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8 8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.834 0.8365 0.8389 0.9 0.3 0.4 0.8 0.9 TABLE 1.2: (continued) 1.0 | 0.8413| 0.8438| 0.8461| 0.8485| 0.8508| 0.8531| 0.8554| O.857기 0.8599| 0.8621| 1.0 0.8997 0.9015 1.2 14 0.9192 0.9207 0.9222 0.9236 0.9292 0.9306 0.9319 1.4 8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.87 879 0.883 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.89620.8980 0.9032 0.9049 0.90660.90820.9099 9147 0.9251 0.9265 0.9279 2 0.9394 0.94060.9418 0.9429 0.9441 35 0.9545 9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 61 0.9767 9332 0.9345 0.9357 0.937 0.938 9452 0.9 9554 0.9564 0. 0.9474 0 84 0.9495 9515 0.9525 1.7 9713 0.9 9 0.972 7210 2.1 0.9821 0.9826 0.983 0.9834 0.9838 0.9842 0.9846 0.985 0.9854 0.9857 2.1 0.9878 0.9881 0.9884 0.9887 0.989 2.2 2.3 9929 0.9931 0.9932 0.9934 0.9936 2.4 0.9861 0.9864 0.9868 0.9871 0.9875 2.3 9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 9918 0.992 9953 0.9955 0.9956 0.9957 0.9959 0.996 0.9961 0.9962 0.9963 0.9964 9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.997 9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.999 0.999 9922 0.9925 0.992 0.994 0.9941 3 0.9 9949 2.6 9971 0.9972 0.9973 0.9974 2.7 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.997 0. 9 09979 0.998 0.9981 28 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 2.9 3.0 3.0 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9 3.2 0.993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.2 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.3 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.99970.9997 0.9997 0.9998 3.4 3.6 0.9998 0.9998 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0 3.6 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.7 3.8 3.9 0.999 3.8 0. 9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.9 1 000 0.01 0.02 0.04 08 0.09

TABLE 1.2 0.00 0.010.020.03 0.04 0.05 0.06 0.07 0.08 0.09 Z 0.0 0.504 0.508 0.5120.516 0.5199 0.5239 0.5279 0.5319 0.5359 0.0 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.1 0.20.5793 0.5832 0.5871 0.591 0.5948 0.5987 06026 0.6064 0.6103 0.6141 0.2 6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.648 0.6517 0.3 6554 0.6591 0.6628 0.6664 0.670.6736 0.6772 0.6808 0.6844 0.6879 0.4 0.6915 0.695 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.719 0.7224 0.5 0.6 0.7257 0.7291 0.73240.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.6 0.758 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7 7881 0.791 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8 8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.834 0.8365 0.8389 0.9 0.3 0.4 0.8 0.9 TABLE 1.2: (continued) 1.0 | 0.8413| 0.8438| 0.8461| 0.8485| 0.8508| 0.8531| 0.8554| O.857기 0.8599| 0.8621| 1.0 0.8997 0.9015 1.2 14 0.9192 0.9207 0.9222 0.9236 0.9292 0.9306 0.9319 1.4 8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.87 879 0.883 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.89620.8980 0.9032 0.9049 0.90660.90820.9099 9147 0.9251 0.9265 0.9279 2 0.9394 0.94060.9418 0.9429 0.9441 35 0.9545 9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 61 0.9767 9332 0.9345 0.9357 0.937 0.938 9452 0.9 9554 0.9564 0. 0.9474 0 84 0.9495 9515 0.9525 1.7 9713 0.9 9 0.972 7210 2.1 0.9821 0.9826 0.983 0.9834 0.9838 0.9842 0.9846 0.985 0.9854 0.9857 2.1 0.9878 0.9881 0.9884 0.9887 0.989 2.2 2.3 9929 0.9931 0.9932 0.9934 0.9936 2.4 0.9861 0.9864 0.9868 0.9871 0.9875 2.3 9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 9918 0.992 9953 0.9955 0.9956 0.9957 0.9959 0.996 0.9961 0.9962 0.9963 0.9964 9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.997 9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.999 0.999 9922 0.9925 0.992 0.994 0.9941 3 0.9 9949 2.6 9971 0.9972 0.9973 0.9974 2.7 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.997 0. 9 09979 0.998 0.9981 28 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 2.9 3.0 3.0 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9 3.2 0.993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.2 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.3 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.99970.9997 0.9997 0.9998 3.4 3.6 0.9998 0.9998 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0 3.6 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.7 3.8 3.9 0.999 3.8 0. 9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.9 1 000 0.01 0.02 0.04 08 0.09

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

refer to the table attached.

What is the probability of the random occurrence of a value between 56 and 61 from a normally distributed population with mean 62 and standard deviation 4.5?

TABLE 1.2
0.00 0.010.020.03 0.04 0.05 0.06 0.07 0.08 0.09 Z
0.0
0.504 0.508 0.5120.516 0.5199 0.5239 0.5279 0.5319 0.5359 0.0
0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.1
0.20.5793 0.5832 0.5871 0.591 0.5948 0.5987 06026 0.6064 0.6103 0.6141 0.2
6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.648 0.6517 0.3
6554 0.6591 0.6628 0.6664 0.670.6736 0.6772 0.6808 0.6844 0.6879 0.4
0.6915 0.695 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.719 0.7224 0.5
0.6 0.7257 0.7291 0.73240.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.6
0.758 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7
7881 0.791 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8
8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.834 0.8365 0.8389 0.9
0.3
0.4
0.8
0.9
TABLE 1.2: (continued)
1.0 | 0.8413| 0.8438| 0.8461| 0.8485| 0.8508| 0.8531| 0.8554| O.857기 0.8599| 0.8621| 1.0
0.8997 0.9015 1.2
14 0.9192 0.9207 0.9222 0.9236 0.9292 0.9306 0.9319 1.4
8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.87
879
0.883
0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.89620.8980
0.9032 0.9049 0.90660.90820.9099
9147
0.9251 0.9265 0.9279
2 0.9394 0.94060.9418 0.9429 0.9441
35 0.9545
9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633
0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706
61 0.9767
9332 0.9345 0.9357 0.937 0.938
9452 0.9
9554 0.9564 0.
0.9474 0
84 0.9495
9515 0.9525
1.7
9713 0.9
9 0.972
7210
2.1 0.9821 0.9826 0.983 0.9834 0.9838 0.9842 0.9846 0.985 0.9854 0.9857 2.1
0.9878 0.9881 0.9884 0.9887 0.989 2.2
2.3
9929 0.9931 0.9932 0.9934 0.9936 2.4
0.9861 0.9864 0.9868
0.9871 0.9875
2.3
9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916
9918 0.992
9953 0.9955 0.9956 0.9957 0.9959 0.996 0.9961 0.9962 0.9963 0.9964
9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.997
9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.999 0.999
9922 0.9925 0.992
0.994 0.9941
3 0.9
9949
2.6
9971 0.9972 0.9973 0.9974 2.7
2.7
0.9965 0.9966 0.9967 0.9968 0.9969 0.997
0.
9 09979 0.998 0.9981 28
2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 2.9
3.0
3.0
0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9
3.2 0.993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.2
3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.3
3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.99970.9997 0.9997 0.9998 3.4
3.6 0.9998 0.9998 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0
3.6
0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.7
3.8
3.9
0.999
3.8
0.
9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999
3.9 1
000 0.01 0.02
0.04
08 0.09

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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