2.1-6. The state of Michigan generates a three-digit num- ber at random twice a day, seven days a week for its Daily 3 game. The numbers are generated one digit at a time. Consider the following set of 50 three-digit numbers as 150 one-digit integers that were generated at random: 169 938 506 757 594 656 444 809 321 545 732 146 713 448 861 612 881 782 209 752 571 701 852 924 766 633 696 023 601 789 137 098 534 826 642 750 827 689 979 000 933 451 945 464 876 866 236 617 418 988 Let X denote the outcome when a single digit is gener- ated. (a) With true random numbers, what is the pmf of X? Draw the probability histogram.
2.1-6. The state of Michigan generates a three-digit num- ber at random twice a day, seven days a week for its Daily 3 game. The numbers are generated one digit at a time. Consider the following set of 50 three-digit numbers as 150 one-digit integers that were generated at random: 169 938 506 757 594 656 444 809 321 545 732 146 713 448 861 612 881 782 209 752 571 701 852 924 766 633 696 023 601 789 137 098 534 826 642 750 827 689 979 000 933 451 945 464 876 866 236 617 418 988 Let X denote the outcome when a single digit is gener- ated. (a) With true random numbers, what is the pmf of X? Draw the probability histogram.
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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Need help with this Intro to Probability and Statistics homework problem. Make sure your handwriting is neat and readable.
Transcribed Image Text:2.1-6. The state of Michigan generates a three-digit num-
ber at random twice a day, seven days a week for its Daily
3 game. The numbers are generated one digit at a time.
Consider the following set of 50 three-digit numbers as 150
one-digit integers that were generated at random:
169 938 506 757 594 656 444 809 321 545
732 146 713 448 861 612 881 782 209 752
571 701 852 924 766 633 696 023 601 789
137 098 534 826 642 750 827 689 979 000
933 451 945 464 876 866 236 617 418 988
Let X denote the outcome when a single digit is gener-
ated.
(a) With true random numbers, what is the pmf of X?
Draw the probability histogram.
Transcribed Image Text:(b) For the 150 observations, determine the relative fre-
quencies of 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively.
(e) Draw the relative frequency histogram of the observa-
tions on the same graph paper as that of the probability
histogram. Use a colored or dashed line for the relative
frequency histogram.
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