1. Suppose we flip a fair coin. Define a random variable called C, where C = 1 if the coin comes up heads, and C = 2 if the coin comes up tails. Define another random variable called S, where S is equal to the sum of C from two consecutive flips of the coin. Using the intuitive definition of probability given in class as a guide, write down the probability distribution table for S. 

1. A standard normal density is a probability density function for a random variable that is normally distributed with population mean = 0 and population variance = 1. Using a table of standard normal probabilities, such as Table A1 in your textbook, answer the following questions:

a) If a random variable has a standard normal density, what is