Suppose the number of points scored by the Indiana University basketball team in one minute follows a Poisson distribution with = 1.5. In a 10-minute span of time, what is the probability that Indiana University scores exactly 22 points; at most 22 points? (Use the fact that if the rate per minute is , then the rate in t minutes is t.) Round your answers to three decimal places, if necessary.

P(scores exactly 22 points):
P(scores at most 22 points):