please send handwritten solution for Q 3

Problem 1: Asking Embarrassing Questions, Politely When doing polling, for instance to gure out how popular a given candidate is, a common trick is to just ask N many people whether they support that candidate, and take the support to be the faction of people who say yes: if 70 people support the candidate out of 100 asked, we estimate the support at 70% or 0.7. Suppose that the probability a person supports a candidate is p, which you do not know. Let N be the fraction of N people polled who support the candidate: total supporters divided by N people polled. 1) What is the distribution of N a: fan? 2) Show hat the expected value of 153v is p, i.e.. 151v is a valid estimator for p. If you want your estimated value of p to be accurate, you want your 'error' on f) N to be small. 3) How many people N should you poll to guarantee the expected squared error on 151v is less than t? 4) How many people N should you poll to guarantee the expected squared error on y is less than 6, even if you don't know 3)? In the previous to problems, we considered the average or expected squared error. But just because the expected error is small doesn't mean the actual error is small. 5) How many people N should you poll to guarantee the actual error on 33w is less than t with 95% condence, even if you don't know p