Question

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 70​% of the​ time; she approves unqualified people 30​% of the time. Find the probability that a person is qualifiedqualified if he or she was approvedapproved by the manager.

Answer 1

Answer:0.778

Step-by-step explanation:

Given

60 % are qualified for Job and 40  % are not

Out of qualified manager approves 70 %

out of not qualified manager approves 30 %

Total no of approved people$=0.6\times 0.7+0.4\times 0.3=0.54$

Probability of qualified and Approved by manager$=0.6\times 0.7=0.42$

P(person is qualified if he or she was approved by the manager)$=\frac{0.42}{0.54}=0.778$