Properties of Normal Distribution Quiz
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Questions and Answers

What is the shape of a normal distribution?

  • Rectangular
  • Triangular
  • Bell shaped (correct)
  • Asymptotic

    • Where is the maximum ordinate of a normal distribution located?

  • At X = μ (correct)
  • At X = 0
  • At X = 1
  • At X = σ

    • What is the mode of a normal distribution at the center of the curve?

  • Mode = Median
  • Mode = Maximum Ordinate
  • Mode = Mean (correct)
  • Mode = Mode

    • What type of distribution is a normal distribution?

    <p>Continuous distribution</p> Signup and view all the answers

    A normal distribution is asymmetrical around its mean.

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

    The area under the curve of a normal distribution is not equal to 1.

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

    The mode of a normal distribution is the same as its median.

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

    A normal distribution is a discrete distribution.

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

    What are the mean and variance of a normal distribution?

    <p>The mean is μ and the variance is σ^2</p> Signup and view all the answers

    What is the probability density function of a normal distribution?

    <p>The probability density function is given by f(x) = (1/σ√(2π)) * e^(-1/2((x-μ)/σ)^2)</p> Signup and view all the answers

    What is the shape of a normal distribution and where is the maximum ordinate located?

    <p>The normal distribution is bell-shaped and symmetrical about its mean. The maximum ordinate is located at X = μ.</p> Signup and view all the answers

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