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Please help solve the ff: A fisherman puts out his net in the evening and empties it the following morning. During the night, fishes are

Please help solve the ff:

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A fisherman puts out his net in the evening and empties it the following morning. During the night, fishes are caught in the net according to a Poisson process with rate A (per hour). A caught fish escapes with rate 1/3. Find the expected amount of time needed to have exactly 5 fishes in the net for the first time

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