7.18) An insurance company has a premium income of $106 080 per day. The claim sizes are iid random variables and have an exponential distribution with variance 4.10[$2]. On average, 2 claims arrive per hour according to a homogeneous Pois- son process. The time horizon is assumed to be infinite. (1) What probability distribution have the interarrival times between two neighboring claims? (2) Calculate the company's ruin probability if its initial capital is x = $20 000. (3) What minimal initial capital should the company have to make sure that its ruin probability does not exceed 0.01