arguments for the distribution

To find out if parents in general are dissatisfied they wish to examine the attitude of 100 randomly chosen families with children who are affected.

a) Find arguments for the distribution of number of families with children who are dissatisfied with the new lunch meal arrangement in day care centers

b) Irrespective of your answer to question “a”, it is assumed in the following that the number of families with children who find the new arrangement dissatisfactory follows a binominal distribution with p=0.80 i.e. the probability that a random family is dissatisfied is 0.80. Calculate the probability that random sample of 100 families with children between 76 and 80 (both included) are dissatisfied with the new lunch meal arrangement in day