Math 143 C/E, Spring 2001
IPS Reading Questions
Chapter 4, Section 3

1. In class we drew the probability histogram for the random variable X = the sum of pips on two dice. Suppose you rolled two dice a thousand times, kept careful record of the outcome of each roll, and plotted the relative frequencies of a `2', `3', ..., `12' in a histogram. How would you expect your histogram to compare to the probability histogram from class?

   
   
   
   
   
   
   
   
   
   
   
   
   
   
   

2. Suppose the random variable X = SAT-math score. Explain why X is a discrete random variable.

   
   
   
   
   
   
   
   

3. Normal distributions are continuous probability distributions. If SAT-math scores have a discrete probability distribution (X in the previous question is, after all, a discrete random variable), then was I in error when I made the statement in class that SAT-math scores are distributed normally as N(500,100)?