5.83 Tobacco Control An Ipsos Reid poll conducted on behalf of the Canadian Cancer Society finds that the majority of British Columbians support implementing tougher tobacco control measures in the province.16 Overall, 71% of British Columbians support a ban on all smoking in workplaces and public establishments, including the elimination of designated smoking areas. The majority also support establishing regulations that would prohibit the sale of cigarettes and tobacco products in "pharmacies" (66%) and "on university and college campuses" (60%). Suppose that in random sample n = 5 British Columbians is taken, X is the number who support the prohibition of the sale of cigarettes and tobacco products in pharmacies.

a. What is the probability that all five persons will support prohibiting the sale of cigarettes and tobacco products in pharmacies?

b. What is the probability that three of the five British Columbians will support prohibiting the sale of cigarettes and tobacco products in pharmacies?

c. What is the probability that one British Columbian will support prohibiting the sale of cigarettes and tobacco products in pharmacies?