Which of the following random variable can be modelled with a binomial distribution? 1) The number of tagged fish if a fisherman randomly catches 20 fish without replacement from a pond of many fish. It is known that 20% of the fish have been tagged. 2) The number of tagged fish if a fisherman randomly catches 20 fish without replacement from a pond of 50 fish. It is known that 20% of the fish have been tagged. 3)The number of tagged fish out of 20 that a fisherman randomly catches with replacement from a pond of 50 fish. It is known that 20% of the fish have been tagged. 4) The number of fish a fisherman has to catch randomly with replacement so that 20 fish that have been tagged are caught from a pond of many fish. It is known that 20% of the fish have been tagged.
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.
Which of the following random variable can be modelled with a binomial distribution?
1) The number of tagged fish if a fisherman randomly catches 20 fish without replacement from a pond of many fish. It is known that 20% of the fish have been tagged.
2) The number of tagged fish if a fisherman randomly catches 20 fish without replacement from a pond of 50 fish. It is known that 20% of the fish have been tagged.
3)The number of tagged fish out of 20 that a fisherman randomly catches with replacement from a pond of 50 fish. It is known that 20% of the fish have been tagged.
4) The number of fish a fisherman has to catch randomly with replacement so that 20 fish that have been tagged are caught from a pond of many fish. It is known that 20% of the fish have been tagged.
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