10. HL Bank records show that 75% of its car loans are completely repaid. Analysis on the unpaid loans shows that 85% loan applicants would have been employed at their present job for less than two years. Of the repaid loan, 25% loan applicants would have been employed at their present job for less than two years. (a) Draw a well-labelled probability tree diagram with joint probabilities calculated for the above problem. (b) What is the probability that a particular loan applicant would have been employed at his or her presentjob for less than two years? (c) Given that a particular loan application has been employed at his or her presentjob for only one year, what is the probability that this person will repay the loan