Answer:
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