uestion 5 b) Continued) (1) 5 equal annual payments made at the beginning of each year and interest is compounded annually. (4 marks) (it) 20 equal quarterly payments made at the end of each quarter and interest is compounded quarterly. (5 marks) 6000 randomly sampled executives from Klang Valley companies were asked whether they graduated from universities, and whether they had confidence in getting a promotion. Confidence in getting University Graduate Total a promotion Yes No Yes 1000 3800 4800 No 550 650 1200 Total 1550 4450 6000 (i) If an executive is selected at random from these 6000 executives, find the probability that this executive (1 ) has confidence in getting a promotion. (1 mark) (2) is graduated from university and has confidence in getting a promotion. (2 marks) (3) is a non university graduate or has no confidence in getting a promotion. (3 marks) Lis (4) is graduated from university given that he/she has no confidence in getting a promotion. (3 marks) (if) Are the events "the graduate is graduated from university" and "has confidence in getting promotion" mutually exclusive? Explain. (3 marks)Question 5 8) The management of Hotel XYZ is considering to replace one of its F & B food machine in five years' time. The present cost of the machine is RM200,000. If the cost of the machine increases at a constant rate of 6% per annum, calculate the expected cost of the equipment at the end of five years. Find the increment in the cost. (4 marks) b ) Suppose the management in part (a) is planning to finance the cost of the replacement by means of a fund. If the rate of interest is 12% per annum, calculate the amount to be deposited in the fund in each of the following cases