Let X represent the weight of a randomly selected student in Davis. Let's also suppose that the weight is distributed with a Poisson distribution with mean 50kg. = a.) In a sample of 20 randomly selected students, what is the approximate probability that the sample mean is larger 70kg. b.) If you have an elevator that can hold 500kgs what is the probability that 8 students can fit in that elevator? (hint: in other words, their weight together is at most 500K)