All-Numeric Passwords. The technology consultancy Data- Genetics published the online document PIN analysis. In addition to analyzing PIN numbers, password trends were examined. Seven million all-numeric passwords were collected and yielded the following estimate of the probability distribution of the number of digits used in an all-numeric password. Digits Probability Digits Probability 4 0.492 9 0.029 5 0.092 10 0.015 6 0.178 11 0.004 7 0.073 12 0.003 8 0.113 13 0.001 a. Explain why the probabilities in the table provide only an estimate of the true probabilities.b. Estimate the probability that an all-numeric password contains at least six digits.
All-Numeric Passwords. The technology consultancy Data- Genetics published the online document PIN analysis. In addition to analyzing PIN numbers, password trends were examined. Seven million all-numeric passwords were collected and yielded the following estimate of the probability distribution of the number of digits used in an all-numeric password. Digits Probability Digits Probability 4 0.492 9 0.029 5 0.092 10 0.015 6 0.178 11 0.004 7 0.073 12 0.003 8 0.113 13 0.001 a. Explain why the probabilities in the table provide only an estimate of the true probabilities.b. Estimate the probability that an all-numeric password contains at least six digits.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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All-Numeric Passwords. The technology consultancy Data- Genetics published the online document PIN analysis. In addition to analyzing PIN numbers, password trends were examined. Seven million all-numeric passwords were collected and yielded the following estimate of the
Digits | Probability | Digits | Probability |
4 | 0.492 | 9 | 0.029 |
5 | 0.092 | 10 | 0.015 |
6 | 0.178 | 11 | 0.004 |
7 | 0.073 | 12 | 0.003 |
8 | 0.113 | 13 | 0.001 |
a. Explain why the probabilities in the table provide only an estimate of the true probabilities.
b. Estimate the probability that an all-numeric password contains at least six digits.
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