QEEETIQN 2 :25 Erica} (a) (b) A car insurance company offers two choices of insurance plan: \"Comprehensive\" or \"Standard\". Their records show that \"35% of their policyholders chose the \"Standard\" plan. Of the policyholders in \"Standard\" plan, 75% made claims this year. Of the policyholders in \"Comprehensive\" plan, 15% made claims this year. Chloe is one of the policyholder and she chose \"Comprehensive\" plan. Calculate the probability that (i) she made no claim this year. (2 marks} (ii) no claim will be made in ve out of eight following years. (5 marks} {iii} the lit claim she make is in the 4th year. (5 marks} (iv) the Illtltl year is the AW year she has claims. (5 marks} Customers arrive at a bank follows a Poisson distribution with rate of 6 per hour. (i) Find the probability that, during any 90-minute period, the number of customers arriving at the bank is at least 5. (5 marks} (ii) A customer arrives at 2.30pm. Find the probability that the next customer arrives before 2.45pm. (3 marks}