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4. Raindrops hit the ground at a rate of 2 drops per second. An observatory has a raindrop sensing equipment. A signal is received

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4. Raindrops hit the ground at a rate of 2 drops per second. An observatory has a raindrop sensing equipment. A signal is received by the computer with a maximum delay of 0.5 second after sensing a raindrop, with all delays equally likely. Assume T is the time of the first raindrop and S is the time of signal reception. Find (a) The joint PDF of T and S. (b) The marginal PDF of S. (c) The conditional PDF of T given S.

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