Imagine We Are Catching Fish from a Small Pond That

question 30

Multiple Choice

Imagine we are catching fish from a small pond that contains 6 catfish, 10 perch, and 4 walleye. When we catch a fish, we return it to the water so it may be caught again. Individuals of all species are equally likely to be caught, and fish are no more or less likely to be caught a second time than they were the first. What is the probability of catching a catfish followed by a perch in the first two catches?

• A) 0.150
• B) 0.160
• C) 0.480
• D) 0.600

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Definitions:

Ratio

A ratio is a mathematical expression that compares two or more numbers, showing how much larger one quantity is than another.

Coefficient of Determination

This statistic measures the proportion of the variance in the dependent variable that is predictable from the independent variable(s) in a regression model, often represented as R².

Total Variation

The sum of squared differences between observed values and their overall mean in a dataset.

Predictor Variable

A variable used in statistical modeling to predict or explain changes in the dependent variable.