I. SAMPLE SPACE AND RANDOM VARIABLES Direction: With the experiments below, tabulate the data you gathered and find their sample space and random variable. Show your complete solution. (20 points total) 1. Tossing a coin four times. Random Variable, x, is the number of tails in each outcome. 2. Drawing two cards consecutively in a deck, but the deck has only two suits. Random Variable, x, is the number of sum of both cards drawn. (Face cards not included.) II. DPD & HISTOGRAM Direction: With the given experiments at Test I, tabulate all data and solve for the Probability Distribution. Create a histogram of each given experiments above. (30 points total) III. MEAN AND VARIANCE OF DISCRETE RANDOM VARIABLE Direction: Solve for the mean and variance of each experiment stated at Test I. (20 points total)