6-48. A night watchman (based on his past experience) estimates that there is only about a 1% chance of completing his rounds early and having to wait to punch in his code on the hour at a security station. Suppose that being early on any given patrol of the facility does not affect his being early or not on any other patrol. Let X be the number of times he will be early on his next 100 arrivals at the security station. Then X is binomially distributed with p = 0.01 and n = 100. Compare the binomial and Poisson probabilities for X = 0, 1 and 2; that is, how would you rate the Poisson approximation to the binomial probabilities?