Explain why each of the following simulations fails to model the real situation:
a) Use random numbers 2 through 12 to represent the sum of the faces when two dice are rolled.
b) Use a random integer from 0 through 5 to represent the number of boys in a family of 5 children.
c) Simulate a baseball player's performance at bat by letting 0 = an out, 1 = a single, 2 = a double, 3 = a triple, and 4 = a home run.