2 (a) (b) Survival time x for a population of 100-year olds follows a Weibull distribution with the following hazard rate function; h(x)=Ax-2/3 A varies over the population with a gamma distribution having parameter a = 5,0 = 0.5. Calculate the marginal expected future lifetime for the population. Loss sizes follow a spliced distribution. Losses below 500 have a density function which is a multiple(weightage) of an exponential with 6 = 250. Loss es above 500 have a density function which is a multiple of a single-parameter Pareto distribution with a = 3, 0 = 500. Half of the losses are below 500. Calculate the expected value of a loss. (c) You are given the following: The underlying loss distribution function for a certain line of business is 2019 is: F(x) 1-x-5,x > 1 From 2019 to 2020, 10% inflation impacts all claims uniformly. Determine the 2020 Loss Elimination Ratio for a deductible of 1.2