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).
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