The manufacurer wishes to copare the taste appeal of a new formula (formula B) with that of the standard formula (formula A) . Each of four judges is given three glasses in a random order, two containing formula A and the other containing formula B. Each judge is asked to state which glas he most enjoyed. suppose that two formulas are equally attractive. Let Y be the number of judges stating a preference for the new formula:
a) Find the probability function for Y
b) what is the probability that at least three of the four judges state a preference for the new formula?
c) Find Expected values of Y
d) Find the variance of Y