In: Statistics and Probability
1. Suppose four distinct, fair coins are tossed. Let the random variable X be the number of heads. Write the probability mass function f(x). Graph f(x).
2. For the probability mass function obtained, what is the cumulative distribution function F(x)? Graph F(x).
3. Find the mean (expected value) of the random variable X given in part 1
4. Find the variance of the random variable X given in part 1.