Suppose that a class of students is star-gazing on top of the local mathematics building from the hours of 11 PM through 3 AM. Suppose further that meteors arrive (i. e. they are seen) according to a Poisson process with intensity ? -4 per hour. Find the following. our (b) The probability they see zero meteors in the first hour, but at least 10 meteors in the final three hours (midnight to 3 AM). (c) Given that there were 13 meteors seen all night, what is the probability there were no meteors seen in the first hour?