Assume that the fisherman can use between 5 and 8 lines. With 5 lines, the probability of a catch on each line is 0.71. With 6 this probability is 0.64, with 7 it is 0.56, and with 8 the probability is 0.47. How many lines should the fisherman use to maximize the probability of catching at least 5 fish?

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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Assume that the fisherman can use between 5 and 8 lines. With 5 lines, the probability of a catch on each line is 0.71. With 6 this probability is 0.64, with 7 it is 0.56, and with 8 the probability is 0.47.

How many lines should the fisherman use to maximize the probability of catching at least 5 fish?

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