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 X (per hour). A caught fish escapes with rate. Find the expected amount of time needed to have exactly 5 fishes in the net for the first time.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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 X (per hour). A caught
fish escapes with rate. Find the expected amount of time needed to have exactly 5 fishes in the
net for the first time.
Transcribed Image Text: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 X (per hour). A caught fish escapes with rate. Find the expected amount of time needed to have exactly 5 fishes in the net for the first time.
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