The question is:
A survey of consumers in a particular community showed that 10% were dissatisfied with plumbing jobs in their homes. Half the complaints dealt with plumber A, who does 40% of the jobs. Find Probability of
1) an unsatisfactory job, given the plumber was A
2) a satisfactory job, given the plumber was A.
I think I can solve this by:
P(unsatisfactory given A) = .5 x .4 = .20
P(satisfactory given A) = 1 - .20 = .80
Is this correct?