3 A factory employs several thousand workers, of whom 30% are Hispanic.

5.3 A factory employs several thousand workers, of whom 30% are Hispanic. If the 15 members of the union executive committee were chosen from the workers at random, the number of Hispanics on the committee would have the binomial distribution with n = 15 and p = 0.3. (a) What is the probability that exactly 3 members of the committee are Hispanic? (b) What is the probability that 3 or fewer members of the committee are Hispanic?