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 . Find the expected amount of time needed to have exactly 5 fishes in the net for the first time.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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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 . 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 A (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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