Use R software!

Q 5. A casualty insurance company has 1000 policyholders, each of whom may indepen dently present a claim in the next month with probability 0.05. Assuming that the amounts of claims made are independent exponential random variables with mean $800 (i.e., A = 1/800). Estimate the probability that the total amount of claims next month exceeds $50,000 by generating 200 values of the total amount of claims using the conditional expectation method (with the conditioning variable / = total number of claims made in the next month) and estimate the variance of your estimator. [10 marks]