Q13. In an experiment to study the relationship of hypertension and smoking habits, the following data are collected for 180 individuals: Moderate Heavy Nonsmokers Smokers Smokers 36 26 30 19 NH 48 Where H and NH in the table stand for Hypertension and Nonhypertension, respectively. If one of these individuals is selected at random, find the probability that the person is (a) Experiencing hypertension, given that the person is a heavy smoker; (b) A nonsmoker, given that the person is experiencing no hypertension. Q14. A construction company employs two sales engineers. Engineer l does the work of estimating cost for 70% ofjobs bid by the company. Engineer 2 does the work for 30% ofjobs bid by the company. It is known that the error rate for engineer 1 is such that 0.02 is the probability of an error when he does the work, whereas the probability of an error in the work of engineer 2 is 0.04. Suppose a bid arrives and a serious error occurs in estimating cost. Which engineer would you guess did the work? Explain and show all work