Bayes' Theorem and Random Variables Quiz
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Questions and Answers

What is the probability that a randomly selected student over six feet tall is a woman?

  • 3/11 (correct)
  • 4/13
  • 2/5
  • 1/5
  • According to the information provided, women are less likely than men to be over six feet tall.

    True

    Define a random variable.

    A random variable is a variable whose value is unknown or a function that assigns values to each of an experiment's outcomes.

    The total student population is divided in the ratio ___ in favor of women.

    <p>3:2</p> Signup and view all the answers

    Match the following terms with their definitions:

    <p>Bayes' Theorem = A mathematical formula used for finding conditional probabilities Random Variable = A variable that takes on different values based on the outcomes of a random process P(M) = Probability of selecting a male student P(F|T) = Probability that a student is female given they are over 6 feet tall</p> Signup and view all the answers

    Study Notes

    Bayes' Theorem Example

    • At a university, 4% of men and 1% of women are over 6 feet tall.
    • The student population is 3:2 in favour of women.
    • Probability of a randomly selected student over 6 feet tall being a woman is 3/11.

    Random Variable

    • A random variable is a value that is unknown or a function that assigns values to experiment outcomes.

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    Description

    Test your understanding of Bayes' Theorem with this quiz that provides examples including the height distribution among genders in a university setting. Additionally, explore the concept of random variables and their significance in probability theory. Perfect for students studying statistics and probability.

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