If the 400 policyholders in problem 2 elect a $1,000 deductible, the insurer's dollar loss distribution (X) becomes: a. Explain bow this new distribution was derived. b. With Z=1.645, calculate the lotal gross premium and gross premium per policy. c. Explain why the presaium is lower when a deductible is used. 4. Jones has two factories, A and B. In factory A, the mean loss from individual injuries is $100,000, with a standard deviation of 55,000 . In factory B, the mean loss is $50,000 with a standard deviation of $5,000. a. In which factory, A or B, is Jones' rick grealer? b. On what measure of risk are you basing your answer? If the 400 policyholders in problem 2 elect a $1,000 deductible, the insurer's dollar loss distribution (X) becomes: a. Explain bow this new distribution was derived. b. With Z=1.645, calculate the lotal gross premium and gross premium per policy. c. Explain why the presaium is lower when a deductible is used. 4. Jones has two factories, A and B. In factory A, the mean loss from individual injuries is $100,000, with a standard deviation of 55,000 . In factory B, the mean loss is $50,000 with a standard deviation of $5,000. a. In which factory, A or B, is Jones' rick grealer? b. On what measure of risk are you basing your