Question: The Small Business Administration's Center for Women's Business Research indicated 30% of private firms had female owners, 52% had male owners, and 18% had male and female co-owners. In one community, there are 50 privately owned firms. Ten privately owned firms are selected to receive assistance in marketing their products. Assume the percentages indicated by the Small Business Administration apply to this community.
a. Calculate the probability that one-half of the firms selected will be solely owned by a woman, 3 owned by men, and the rest co-owned by women and men.
b. Calculate the probability that all of the firms selected will be solely owned by women.
c. Calculate the probability that 6 will be owned by a woman and the rest co-owned.