John has an insurance policy on his car with a 200$ deductible, meaning that if an accident occur, he would pay the cost of the repair up to 200$ with the insurance policy paying the rest. So if he has an accident worth 123$ he would pay 123$ but if the accident is worth 345$ he would only pay 200$. Assume that the cost of an accident is uniformly distributed over [50,1000]. Denote X the amount that John pays. a. What is the c. d.f. of X?
b. Is X continuous, discrete, orï¼neither discrete nor continuous)?
c. What is the prob. that X = 200?