Question 1 (25 marks). The loss random variable X for a health insurance policy is assumed to follow an exponential distribution with mean 1000 this year. An insurance policy pays the loss above a deductible of 100 , with a maximum annual payment of 500 . For the next year, the loss is expected to be a growth of 5%, but the insurance payment retains the same deductible and maximum payment. Find the percentage increase in the expected cost per payment from this year to the next one