Discrete Random Variables Quiz
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Questions and Answers

What is the probability mass function (PMF) of a discrete random variable?

  • A function that gives the probability that a discrete random variable is less than or equal to some value
  • A function that gives the probability that a discrete random variable is exactly equal to some value (correct)
  • A function that gives the probability that a discrete random variable is greater than or equal to some value
  • A function that gives the probability that a discrete random variable is between two values
  • For a discrete random variable X, what is the expected value E(X)?

  • $E(X) = \\sum_{i} x_iP(X=x_i)$ (correct)
  • $E(X) = \\frac{1}{n}\\sum_{i=1}^{n} x_i$
  • $E(X) = \\frac{1}{n}\\sum_{i=1}^{n} P(X=x_i)$
  • $E(X) = \\sum_{i} P(X=x_i)$
  • What does the variance of a discrete random variable measure?

  • The range of the random variable's values
  • The average of the squared differences from the mean (correct)
  • The average of the absolute differences from the mean
  • The sum of the squared differences from the mean
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