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

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

$30.32

step-by-step explanation:

65.00*.12=2.80

65.00-2.80=57.20

57.20*1.06=60.632

60.632/2=30.316

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step-by-step explanation: