HELP PLEASE SHOW WORK THANK YOU Suppose a certain drug test

HELP! PLEASE SHOW WORK! THANK YOU!

Suppose a certain drug test is 98% sensitive, that is, the test will correctly identify a drug user as testing positive 98% of the time. and 94% specific, that is, the test will correctly identify a non-user as testing negative 94% of the time. Suppose a corporation decides to test its employees for drug use. and that only 0.8% of the employees actually use the drug. What is the probability that, given a positive drug test, an employee is actually a drug user? Let D stand for being a drug user and N indicate being a non-user. Let EI be the event of a positive drug test and O be the event of a negative drug test. (b) P(N) = (d) P( | N) = (e) P() = (f) P(D) =

Solution

0.993 0.06 0.9*0.007+ 0.06*0.993 =0.06588 0.9