I've been having a horrible day and this is just making it so much worse. How do you do this?! :(
Of all the people applying for a certain job, 60% are qualified and 40% are not. The personnel manager claims that she approves qualified people 85% of the time; she approves unqualified people 20% of the time. Find the probability that a person is qualified if he or she was not approved by the manager.
I've tried this a million times. This is like literally my last chance, help :)
Of all the people applying for a certain job, 60% are qualified and 40% are not. The personnel manager claims that she approves qualified people 85% of the time; she approves unqualified people 20% of the time. Find the probability that a person is qualified if he or she was not approved by the manager.
I've tried this a million times. This is like literally my last chance, help :)
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............. qualified (0.6) .................|.......... unqualified (0.4) ..............
approved (0.85) not approved (0.15) | not approved (0.8) approved (0.2)
................................... 0.6*0.15 ........ 0.4*0.8
P[qualified | not approved] = 0.6*0.15 /(0.6*0.15 + 0.4*0.8) = 0.2195 <---------
approved (0.85) not approved (0.15) | not approved (0.8) approved (0.2)
................................... 0.6*0.15 ........ 0.4*0.8
P[qualified | not approved] = 0.6*0.15 /(0.6*0.15 + 0.4*0.8) = 0.2195 <---------