All-Numeric Passwords. The technology consultancy Data-Genetics published the online document PIN analysis. In addition to analyzing PIN numbers, passwords 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 On average, approximately how many digits would you expect an allnumeric password to have? Explain your answer.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
All-Numeric Passwords. The technology consultancy Data-Genetics published the online document PIN analysis. In addition to analyzing PIN numbers, passwords 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 |
On average, approximately how many digits would you expect an allnumeric password to have? Explain your answer.
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