Assume that the fisherman can use between 5 and 8 lines. With 5 lines, the probability of a catch on each line is 0.77. With 6 this probability is 0.66, with 7 it is 0.52, and with 8 the probability is 0.49. How many lines should the fisherman use to maximize the probability of catching at least 3 fish?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Rework problem 21 from section 4.1 of your text involving the deep-sea fisherman. Assume that the fisherman can use between 5 and 8 lines. With 5 lines, the probability of a catch on each line is 0.77. With 6 this probability is 0.66, with 7 it is 0.52, and with 8 the probability is 0.49.

How many lines should the fisherman use to maximize the probability of catching at least 3 fish?

 

 

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