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QUESTION

A defective coin minting machine produces coins whose probability of Heads is a random variable Q with PDF f Q (q) = 5q 4 , if q[0,1], 0 , otherwise....

otherwise.

A coin produced by this machine is tossed repeatedly, with successive tosses assumed to be independent. Let A be the event that the first toss of this coin results in Heads, and let B be the event that the second toss of this coin results in Heads.

  1. P(A) = ?
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