Losses due to certain event are uniformly distributed over interval ( 0, a). For a policy that covers the loss with 100 deductible, the probability that the payment exceed 200 is 1/3. A new policy is to be issued with a deductible 50 and a policy limit 350. Find the expect payment of a new policy when loss occurs.
a. 225
b. 175
c. 200
d. 250
e. 155