Probability Mass Function and Histograms
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Questions and Answers

What is the main purpose of a probability mass function for a discrete random variable?

  • To calculate the probabilities of different values of the random variable (correct)
  • To show the variability in the data distribution
  • To compute the variance and standard deviation
  • To graph the distribution using a histogram

    • In constructing a histogram for a discrete random variable, where are the possible values of the variable plotted?

  • On the horizontal axis (correct)
  • On the vertical axis
  • On the x-axis
  • On the y-axis

    • What is the relationship between the sum of probabilities in a probability mass function and the histogram's total area?

  • They are equal (correct)
  • They are unrelated
  • Sum of probabilities is less than 1
  • Sum of probabilities is greater than 1

    • How is the standard deviation related to the variance of a discrete random variable?

    <p>Standard deviation is the square root of variance</p> Signup and view all the answers

    What does the formula for variance of a discrete random variable measure?

    <p>The spread of data values from their average</p> Signup and view all the answers

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