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Direction: Illustrate and determine possible values of a given random variable. Three coins are tossed simultaneously. Let H represent heads, T represent tails and Z be the random variable that represents the number of tails that will occur. Find the values of the random variable Z. Step 1: Assign letters that will represent each outcome. H = (1) (2) tails Z= (3) Step 2: Determine the sample space. # # S = (_ (4) (5) (6) (7) (8) (9) (10) (11) Step 3: Count the number of the value of a capital letter assigned. Possible Values of the Outcomes Random Variable Z (12) (13) Therefore, the possible values of (14) (15) random variable. (16) (17) Z= (18) (19) (28) (29) (30) (31) (20) (21) (22) (23) (24) (25 (26) (27)