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Consider rolling a 5-sided die (a "D5") and counting the number of rolls up to and including the first "1" that appears. Imagine repeating that experiment 40 times and let X} be the number of rolls taken on the j-th attempt. Consider the average 1 A = X . 40( 1+ +X40) (8) HA) = (b) Var(A) = Suppose now that you were going to estimate IP(x1 g A 3 x2) by approximating A with a standard normal random variable Z so that P0515 A 5 x2) % W215 Z S 22). Then the formula for Z in terms of A should be: (c)Z = (Do NOT attempt to apply any continuity correction.)