The time to failure for each of particular standard electronic devices has the density f (x) =

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The time to failure for each of particular standard electronic devices has the density f (x) = 64/x5 for x ≥ 2. Show that the corresponding r.v.’s are larger than 2 with probability one. Let Tn be the time to failure for a series of n such devices. Guess to what E{Tn} should converge as n→∞. Find E{Tn} and check your guess.

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