24 - The cumulative distribution function for health care cost experienced by a policyholder is modeled by a function

F(x)=1e^x/100 for x>0 and 0 otherwise.

The policy has a deductible of 20. An insurer reimburses the policyholder for 100% 0f the health care costs between 20 and 120 less the deductible. Health care costs above 120 are reimbursed at 50%.

Let G be the cumulative distribution function of reimbursements given that the reimbursement is positive. Calculate G(115).