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.

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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Digits ProbabilityDigitsProbability 0.492 0.092 0.178 0.073 0.113 0.029 0.015 0.004 0.003 0.001 10 6 12 13