M 2 4. (2 pts) Suppose we are interested in the number of visitors to a certain website at any given time who are either male or female. Our model assumes that at any given time, there are Pois (Am) male visitors and F~ Pois (A) female visitors, with independence of M and F. Let T denote the total number of customers at any given time, i.e., T = M + F. Given that T = t, show the conditional distribution of the number of female visitors is a Bin (n,p) distribution with n = t and p = f/(f + m). Hint: Use conditional probability definition or Bayes rule.