Let 391.3,, be a simple random sample of size n from UTM students. Assume that the population size is N. Suppose that y, equals 1 [if the participant is COVID-lg fully vaccinated] or 0 [if the participant is not COVlD-19 hilly vaccinated]. Let p be the population proportion and q = 1 p. Dene ra= ?=1yiand=1-- Some useful facts: E(y,-) = 39, V0,) = pq. You may use any needed fact about expected value} variance from previous courses such as STA256H5 without proof. Also, well-lniown facts from STA304H5 maybe used directly without proof. Only describe what you are doing. {a} If sampling is with replacement, nd 1701?). Show all steps. [b] If sampling is with replacement, show that E is unbiased estimator of Vtzi). Show all steps. [c] If sampling is without replacement, nd Big). Show all steps. Simplify your 313.5ch