Security researchers frequently would like to know the probability people pick things for their 4-digit PINs (how often do people lock their phones with just 1234?). If you just ask people what PIN they use, they either will not tell you or will lie. People may not even want to use something like the strategy in this problem, because there's some probability that they may be asked to just give their PIN honestly. How could you build a polling strategy that could successfully estimate the probabilities people use various PINS with, but wouldn't require the person to ever give up their PIN entirely and clearly?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 52E
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Security researchers frequently would like to know the probability people pick things for
their 4-digit PINS (how often do people lock their phones with just 1234?). If you just ask people what PIN they use,
they either will not tell you or will lie. People may not even want to use something like the strategy in this problem,
because there's some probability that they may be asked to just give their PIN honestly. How could you build a polling
strategy that could successfully estimate the probabilities people use various PINS with, but wouldn't require the person
to ever give up their PIN entirely and clearly?
Transcribed Image Text:Security researchers frequently would like to know the probability people pick things for their 4-digit PINS (how often do people lock their phones with just 1234?). If you just ask people what PIN they use, they either will not tell you or will lie. People may not even want to use something like the strategy in this problem, because there's some probability that they may be asked to just give their PIN honestly. How could you build a polling strategy that could successfully estimate the probabilities people use various PINS with, but wouldn't require the person to ever give up their PIN entirely and clearly?
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