According to a website, the average cost of a stay in a hospital for a particular region was $10,600. Assume that this cost is exponentially distributed a. Determine the probability that a randomly selected patient's stay in a hospital in this region will cost more than $14,300 b. Calculate the probability that a randomly selected patient's stay in a hospital in this region will cost less than $9,300 a. The probability that a randomly selected patient's stay in a hospital in this region will cost more than $14,300 is (Round to four decimal places as needed.) b. The probability that a randomly selected patient's stay in a hospital in this region will cost less than $9,300 is (Round to four decimal places as needed.)