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azzyla2003
18.07.2019 •
Mathematics
Acompany believes 95% of its jobs applicants are trustworthy. the company gives everyone a polygraph test, asking "have you ever stolen anything from your workplace", to which all applicants naturally answer no. the company then uses a polygraph (lie detector) to see if they are trustworthy. suppose when a person lies, the polygraph detects the lie with probability 65%, but incorrectly identifies 15% of true statements as lies. what is the probability that a job applicant rejected under suspicion of dishonesty was actually trustworthy
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Ответ:
Solution:
Number of Applicants which are trustworthy= 95%
Applicants which are not trustworthy=5%
The polygraph detects the lie with probability= 65%
Probability that the statement is true, but polygraph says it's not true= 15%
Probability that a job applicant rejected under suspicion of dishonesty was actually trustworthy=Number of Applicants which are trustworthy × Probability that the statement is true, but polygraph says it's not true
Ответ: