1. Toss five fair coins. Let X be the random variable that assigns the number of heads, if there are more heads than tails, and assigns zero otherwise. Determine each of the following: a. Describe the sample space, S. You do not need to write down every outcome, but determine how many outcomes there are and give at least 2 examples.

b. The range of X. The entire set is needed.

c. The CDF of X.

d. The PMF of X.

e. The expected value of X.

f. The variance and standard deviation of X.