Suppose x is a binomial random variable with n = 5 and p = .5. Compute p(x) for x = 0, 1, 2, 3, 4, and 5, using the following two methods:

a. List the sample points (take S for Success and F for Failure on each trial) corresponding to each value of x , assign probabilities to each sample point, and obtain p(x) by adding sample–point probabilities.

b. Use the formula for the binomial probability distribution to obtain p(x).