A company retains a psychologist to assess whether job applicants are suited for assembly-line work. The psychologist classifies applicants as one of A (well suited), B (marginal), or C (not suited).The probability of being classified as A is 0.45 and the probability of B is 0.30.If someone is classified as A, the probability that s/he is hired is 0.6.Similarly, the probabilities of being hired for B and C applicants are 0.7 and 0.2 respectively.

a)Create a Tree Diagram for this situation in the space above.

b) What is the probability that an applicant is classified as A and is hired?

c) What is the probability that a randomly selected applicant is hired?

d) On your day off, a new applicant is hired.Given this information, which classification is s/he most likely to come from?

Support your answer with conditional probabilities.