A portfolio of insurance policies consists of two types of policies. Losses on Type 1 policies have an exponential distribution with =100. Losses on Type 2 policies have a Gamma distribution with =2 and =100. The policies are evenly divided between two types. A single loss arises from the portfolio.

Q1: Identify the hazard rate function of the loss.

Q2: What is the value at risk(VaR) of the loss at security level 90%?