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. Required:
a. List the experimental outcomes.
b. Define a random variable that represents the number of offers made. Is the random variable continuous?
c. Show the value of the random variable for each of the experimental outcomes.

a. OOO, OON, ONO, NOO, ONN, NON, NNO, NNN

b. No, the variable is discrete.

c. x(OOO) = 3; x(OON) = 2;  x(ONO) = 2; x(NOO) = 2;  x(ONN) = 1; x(NON) = 1; x(NNO) = 1; x(NNN) = 0

Step-by-step explanation:

Let 'O' represent an offer and 'N' represent a no offer.

a. The experimental outcomes are:

OOO, OON, ONO, NOO, ONN, NON, NNO, NNN

b. Let x be the number of offer mades (number of 'O's), it can only assume the values of 1, 2 or 3, and therefore is not continuous, it is a discrete random variable.

c.  The values of x for each outcome are:

x(OOO) = 3;

x(OON) = 2;  

x(ONO) = 2;

x(NOO) = 2;  

x(ONN) = 1;

x(NON) = 1;

x(NNO) = 1;

x(NNN) = 0

could you provide figure.