Question: answer all questions with explanation 1. (12 points, 3 points for each part) Suppose one is rolling a fair six-sided die independently and repeatedly till

answer all questions with explanation

1. (12 points, 3 points for each part) Suppose one is rolling a fair six-sided die independently and repeatedly till the event A = {5, 6} occurs. Let X be the number of rolls needed. Find (1). P(X > 2), (2). E[X], (3). Var(X), and (4). The r.v. Z that standardizes X

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