Simmons Market Research conducted the national consumer study of 13787 respondents in spring of 2009. The respondents were asked to point to the primary source of the vitamins or minerals supplements they consume. Thirty-five percent indicated multiple formula was their choice. A subset of 20 respondents who employed multiple vitamins was chosen for further questioning. Half of them employed a One A Day vitamin; the rest employed generic brands. Of the subset, 4 were asked to fill out a more complete health survey.
a. Compute the probability that the final selection of 4 subset members were all One A Day multiple vitamins users.
b. Compute the probability that the final selection of 2 or fewer subset members were all One A Day multiple vitamin users.
c. Compute the probability that the final selection of more than 1 subset members were all One A Day multiple vitamin users.