The manufacturer of a low-calorie dairy drink wants to compare taste appeal of new formula (formula B) with that of standard formula (formula A). Each of three judges is given three glasses in random order, two containing formula A and other containing formula B. Each judge is asked to describe which glass he or she most enjoyed. Assume that the two formulas are equally attractive. Let X be the number of judges stating preference for new formula (a)
1) Mention all the elements of the sample space (s)
2) Determine the probability of distribution for random variable X
3) Determine the probability that at least two of the judges state a preference for a formula A
4) Determine the expected value of a random variable X
5) Determine the standard deviation of a random variable X