© macmillan learning the national center for health statistics (nchs) reports that 70% of u.s. adults aged 65 and over have ever received a pneumococcal vaccination. suppose that you obtain an independent sample of 20 adults aged 65 and over who visited the emergency room and the pneumococcal vaccination rate applies to the sample. determine the probability that exactly 14 members of the sample received a pneumococcal vaccination. let ???? represent the number of successes in a binomial setting with ???? trials and probability p of success in each trial. the probability of obtaining exactly ???? successes is given by the formula P(????