More than 200 billion grocery coupons are distributed each year for discounts exceeding $84 billion. However, according to a report in USA Today, only 3.2% of the coupons are redeemed. If a company distributes 5000 coupons, what is the probability that:

(a) at least 100 coupons are redeemed?

(b) at most 200 coupons are redeemed?

(c) fewer than 100 coupons are not redeemed?

(d) more than 200 coupons are not redeemed?