Please note I am only looking for the answer to question B T

Please note, I am only looking for the answer to question B. The answer to A is as follows:

Binomial distribution

We are conducting a poll to estimate what fraction of the student population at rutgers approves of the recently-unveiled master plan2. This problem is about deciding how many people to poll and evaluating how accurate our results are likely to be.

Solution

The answers are of two choices approved or not approved.

Also all trials are independent.

Hence we can say X - no of approved answers follow a binomial with p and n

E(X) = np

and Var(X) = npq

As X/n becomes almost equal to p

if y = x/n is a random variable

then the inequality can be written as

P(|y-muy|>=0.05)<=0.05

As average of y will be p

Now we can use Chernoff bound.