Suppose that 77% of people in New Jersey are in favor of reducing Rutgers tuition. A pollster (who doesn't already know that 77% is the true level of public support) tries to find out what % of people in New Jersey support the reduction in tuition, by taking a survey of 300 people.

This question has two parts:

(a)Write an expression using C(N,k) notation for the exact probability that a sample of 300 people is accurate, with a margin of error of plus or minus 2%. You can write just the first two and the last two terms in the sum, with a ... in between, butsay explicitly how many terms there are in the sum.

(b)Use the normal distribution to approximate the probability that a sample of 300 people is accurate, with a margin of error of plus or minus 2%. Show enough work to make clear that you understand.