see attached

8. (10 pts) In a town, a sample of n = 100 is asked their opinion of a proposed municipal project; 45 are found to favor it, and 55 oppose it. If, in fact, the adults of the town are equally divided on the proposal (1) = 0.5), What is the probability of obtaining a number of 45 or less favoring it in a sample of 100? First give an exact answer in a formula, then compute a Normal approximation applying the CLT