The flip of a fair coin will result in the outcome "heads" with probability 0.5.

A. Let represent the total number of heads that are observed when the coin is

flipped times. Show that () = 0.5.

B. If the coin is flipped 2 times, provide a graph which shows the probability distribution and another graph which shows the cumulative probability distribution for the number of heads observed.

C. Briefly explain how the binomial distribution, the Poisson distribution, and the exponential distribution are related.