5. According to the Fed, seventy percent of American adults have a savings account. A Fed employee selects sixteen American adults at random and is interested in the number that have a savings account. a) Define the random variable of interest, X. b) State the distribution of X. Show your work by checking the relevant criteria. c) What is the probability that exactly 11 American adults have a savings account? d) What is the probability that exactly 3 American adults do not have a savings account? e) What is the probability that between (inclusive) 1 and 7 American adults have a savings account? f) What is the expected value of X