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

step-by-step explanation:

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt