54. Let Xi , i 1, be independent random variables with pj = P{X = j},...
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54. Let Xi , i 1, be independent random variables with pj = P{X = j}, j 1. If pj = j/10, j = 1, 2, 3, 4, find the expected time and the variance of the number of variables that need be observed until the pattern 1, 2, 3, 1, 2 occurs.
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