A town has N residents, and 0.4N (assume 0.4N is an integer) of them suffered heart attack before. We randomly sample 5 people among the residents. Let X be the number of people among the 5 people having suffered heart attack. Derive the probability distri- bution of X of the following scenarios, and compare it with the probability distribution of Binomial(5, 0.4).
(a) N = 10
(b) N = 100
(c) N = 10, 000