Suppose That 60% of the Students Do Homework Regularly

question 70

Multiple Choice

Suppose that 60% of the students do homework regularly. It is also known that 80% of students who had been doing homework regularly, end up doing well in the course. Only 20% of students who had not been doing homework regularly end up doing well in the course. Given that a student did well in the course, what is the probability that the student had been doing homework regularly?

• A) 0.286
• B) 0.857
• C) 0.143
• D) 0.429

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Definitions:

Coefficient of Determination

A measure, often represented as R^2, that quantifies the proportion of the variance in the dependent variable that is predictable from the independent variable(s).

Variance

A measure of how far individual numbers in a dataset are from the mean, squared.

Correlation Coefficient

A statistical measure that calculates the strength and direction of a linear relationship between two variables, ranging from -1 to +1.

Continuous

Refers to a type of variable or data that can take an infinite number of values within a given range.