An insurer offers home insurance. There is a $2\%$ chance that an insured will suffer from

fire damage. If this happens, the damage amount follows a Gamma$(\backslash$alpha $=2,\backslash$beta $=0\mathrm{.}0001).$

The insurance contract is subject to a $1000$$ deductible, and the insurer has a reinsurance

provision whereby the excess over $40,000$ is ceded to the reinsurer. What is the insurer$$s

expected loss for this insured $?$