A logistics company specializes in delivering packages within a metropolitan area. Based on historical data, the company knows that the time it takes to deliver a package is uniformly distributed between 2 to 6 hours from the moment the package is dispatched. The company promises that if any delivery takes longer than 5 hours, the customer will receive compensation of $10. (a) Find the mean and the standard deviation of the delivery times. (b)What is the probability that a package will be delivered in less than 5 hours? (c) Find the expected total compensation for 1000 deliveries