The U. S. Bureau of Labor Statistics releases figures on the number of full-time wage and salary workers with flexible schedules. The numbers of full-time wage and salary workers in each age category are almost uniformly distributed by age, with ages ranging from 18 to 65 years. If a worker with a flexible schedule is randomly drawn from the U. S. workforce,

(a) what is the probability that he or she will be between 20 and 47 years of age?

(b) What is the mean value for this distribution?

(c) What is the height of the distribution?