Another problem I am working on:
A survey of consumers in a particular community showed that 10% were dissatisfied with plumbing jobs done in their homes. Half the complaints dealt with plumber A. If plumber A does 40% of the plumbing jobs in the
town, find the following probabilities:
(a) A consumer will obtain an unsatisfactory plumbing job, given that the plumber was A.
(b) Consumer will obtain a satisfactory plumbing job, given that the plumber was A.
I defined 2 events A and B
A: obtain unsatisfactory plumbing
B: the plumber is A
I am not sure if I find the right P(A and B) for the conditional prob.
Thats what I got:
P(A)= 40% or 0.4 P(B)=10% or 0.1
P(A|B)= 0.05/0.4 = 12.5%
Am I on the right track? Thanks