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Probability Theory & Statistics Conventions Quiz
10 Questions
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Probability Theory & Statistics Conventions Quiz

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@SilentEmerald

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Questions and Answers

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

  • Random variables are written in upper case Greek letters.
  • Random variables are written in upper case roman letters. (correct)
  • Random variables are written in lower case roman letters.
  • Random variables are written in lower case Greek letters.

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

  • Upper case Greek letters
  • Upper case roman letters
  • Lower case Greek letters
  • Lower case roman letters (correct)

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

  • P(X = x)
  • P(X ≤ x) (correct)
  • P(X > x)
  • P(X ≥ x)

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

    <p>P</p> Signup and view all the answers

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

    <p>P(X takes values in A)</p> Signup and view all the answers

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

    <p>A value of 1 for the coefficient of multiple correlation indicates that the predictions are exactly correct.</p> Signup and view all the answers

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

    <p>The independent variables are not good predictors of the dependent variable.</p> Signup and view all the answers

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

    <p>The coefficient of multiple correlation is the square root of the coefficient of determination.</p> Signup and view all the answers

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

    <p>The predictions are exactly correct.</p> Signup and view all the answers

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

    <p>0 to 1</p> Signup and view all the answers

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