Let be the proportion of students at a university who approve the governments policy on students

Let π be the proportion of students at a university who approve the governments policy on students allowances. The students newspaper is going to take a random sample of n = 30 students at a university and ask if they approve of the governments policy on student allowances.

(a) What is the distribution of y, the number who answer "yes"?

(b) Suppose out of the 30 students, 8 answered yes. What is the frequentist estimate of π.

(c) Find the posterior distribution g(π|y) if we use a uniform prior.

(d) What would be the Bayesian estimate of π?