Assume that the fisherman can use between 3 and 6 lines. With 3 lines, the probability of a catch on each line is 0.75. With 4 this probability is 0.69, with 5 it is 0.59, and with 6 the probability is 0.44. How many lines should the fisherman use to maximize the probability of catching at least 2 fish?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Rework problem 21 from section 4.1 of your text involving the deep-sea fisherman. Assume that the fisherman can use between 3 and 6 lines. With 3 lines, the probability of a catch on each line is 0.75. With 4 this probability is 0.69, with 5 it is 0.59, and with 6 the probability is 0.44.
How many lines should the fisherman use to maximize the probability of catching at least 2 fish?
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