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Consider rolling a 4-sided die (a D4) and counting the number of rolls up to and including the first 1 that appears. Imagine repeating that

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Consider rolling a 4-sided die (a "D4") 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 = 40 ( X1 + . .. + X40). (a) E( A) = (b) Var(A) = Suppose now that you were going to estimate P(x]

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