FarmMilks Sdn. Bhd produce dairy products. 70% of the dairy products sold are banana flavor milk and 30% are kurma flavor milk. The type of dairy product purchased by each of the next 20 customers will be recorded. Given a random variable x as number of dairy product purchased among these 20 customers, answer the following questions:

a) Determine whether x is a binomial random variable or geometry random variable.

b) Calculate the probability that exactly eight dairy product purchased are banana flavor milk.

c) Calculate the probability that between seven and ten (inclusive) are banana flavor milk.

d) Calculate the probability that between three and five (inclusive) are kurma flavor milk