all of question 3

3. Assume Chloe asks for food according to a Poisson process with an average of 10 times every day. (a) (3 points) What is the probability the she will ask (exactly) 55 times next week? (You may just set up the equation) (b) (5 points) Starting now (at time t=0 hr), evaluate the probability Chloe will not ask for food in the next 2 hours (by time t-2 hrs). (c) (5 points) Use the Normal Distribution to approximate the probability that Chloe will ask for food fewer than 9 times per day on average during the next 30 days