According to recent census figures, the proportion of adults (persons over 18 years of age) in the United States associated with five age categories are given in the following table. 1 2 3 4 5 Age 18-24 25 -34 35-44 45 -64 65 and up Proportion 0.20 0.25 0.15 0.30 0.10 a. If six adults are randomly selected from the whole population, what is probability that the sample contains three people of the age falling into the first category, two people of the age falling into second category, and one person of the age falling into the fourth category? b. If three adults are randomly selected from the whole population, what is probability that all of them will be of the age between 45 and 64