(3.3) A wealth of 10 is subjected to a random loss that has a uniform density on [0, 10]. (a) Compute the premium corresponding to a deductible D = 4 (assume 2 = 0). (b) Which coinsurance rate will induce the same premium? (c) Consider now a policy with a ceiling C so that: x if x C. Which value of C yields the same premium as before? (d) By drawing cumulative distributions of final wealth show that a risk averter will prefer the deductible to the coinsurance policy and that he will prefer the coinsurance to the ceiling. Explain the intuition of your result