According to a survey by the AdministrativeManagement Society, one-half of U.S. companies giveemployees 4 weeks of vacation after they have beenwith the company for 15 years. Find the probabil-ity that among 6 companies surveyed at random, thenumber that give employees 4 weeks of vacation after15 years of employment is (a) anywhere from 2 to 5; (b) fewer than 3.