Three students scheduled interviews for summer employment at the Brookwood Institute. In each case, the interview results in either an offer for a position or no offer. Experimental outcomes are defined in terms of the results of the three interviews.

(A) How many experimental outcomes exist?

Note: The possible outcomes are Y/N for first interview, and Y/N for 2nd, and Y/N for 3rd interview.

(B) Let x equal the number of students who receive an offer. Is x continuous or discrete?

a) It is discrete b) It is continuous c) It is neither discrete nor continuous

(C) Show the value of the random variable for the subset of the experimental outcomes listed below. Let Y = "Yes, the student receives an offer", and N = "No, the student does not receive an offer."

1. (Y, Y,Y)

2. (Y, N,Y)

3. (N, Y,Y)

4. (N, N,Y)

5. (N, N,N)