Assume that equal numbers of people prefer Coke or Pepsi and Pepsi to Coke. You ask 100 people whether they prefer Coke or Pepsi. You are interested in the probability that exactly 60 people prefer Coke to Pepsi and the probability that from 40 through 60 people prefer Coke to Pepsi. (a) Define the binomial random variable, explicitly stating what is (i) Trial, (ii) Success, (iii) p, and (iv) n. (b) What is the probability that exactly.