In each situation below, is it reasonable to conclude that the random variable X has a binomial distribution? Give reasons for your answer in each case. If a binomial distribution applies, give the values of n and p.
(a) Joe buys a ticket in his states Pick 3 lottery game every week; X is the number of times in a year that he wins a prize. The chance of winning a prize in any week is about 0.0001.
(b) The numbers of people in a random sample of 10 people that have blood type AB.