At a certain construction site, the probability of an accident on any given day is 0.005, and the accidents that occur are independent of each other. What is the probability that, in any given period of 40 days, there will be an accident on one day? What is the probability that there are at most 3 days with an accident? Use
(a) the binomial distribution and (b) the Poisson distribution to solve this problem. Compare your answers.