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 indepen- dent sample of 10 adults aged 65 and over who visited the emergency room and the pneumococcal vaccination rate applies to the sample.

(a) Does the random variable, X, representing the number of adults in the sample who received the pneumococcal vaccination meet the requirements for the Binomial Setting? Explain.

(b) Can you use the Normal approximation for this Binomial distribution? Explain.

(d) Determine the probability that exactly 2 members of the sample received a pneumococcal vaccination.