Probability Theory & Statistics Conventions Quiz

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10 Questions

Which of the following is a commonly used convention in probability theory for representing random variables?

Random variables are written in upper case roman letters.

Which of the following notations is used to represent a particular realization of a random variable?

Lower case roman letters

How is a cumulative probability formally written to differentiate the random variable from its realization?

P(X ≤ x)

What notation is sometimes used to represent probability in order to distinguish it from other functions and measures?

P

What does the notation P(X ∈ A) represent?

P(X takes values in A)

Which of the following statements about the coefficient of multiple correlation is true?

A value of 1 for the coefficient of multiple correlation indicates that the predictions are exactly correct.

What does a coefficient of multiple correlation value of 0 indicate?

The independent variables are not good predictors of the dependent variable.

What is the relationship between the coefficient of multiple correlation and the coefficient of determination?

The coefficient of multiple correlation is the square root of the coefficient of determination.

What does a coefficient of multiple correlation value of 1 indicate?

The predictions are exactly correct.

What is the range of values for the coefficient of multiple correlation?

0 to 1

Test your knowledge of probability theory and statistics conventions with this quiz. Learn about the notation used for random variables and their realizations.

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