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?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 66E: Determine if the statement is true or false. If the statement is false, then correct it and make it...
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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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