Normal Distribution Statistics Quiz
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Questions and Answers

What is the parameter representing the mean or expectation of the normal distribution?

  • $\sigma^2$
  • $\mu$ (correct)
  • $\sigma$
  • $\sqrt{2\pi}$
  • What does the parameter $\sigma$ represent in the normal distribution?

  • Mode of the distribution
  • Standard deviation of the distribution (correct)
  • Mean of the distribution
  • Variance of the distribution
  • What is the general form of the probability density function for a normal distribution?

  • $f(x) = \frac{1}{\sigma \sqrt{2\pi}} e^{-\frac{1}{2}\left(\frac{x-\mu}{\sigma}\right)^2}$ (correct)
  • $f(x) = \frac{1}{\sigma} e^{-\frac{1}{2}\left(\frac{x-\mu}{\sigma}\right)^2}$
  • $f(x) = \frac{1}{\sqrt{2\pi}} e^{-\frac{1}{2}\left(\frac{x-\mu}{\sigma}\right)^2}$
  • $f(x) = \sigma^2 \sqrt{2\pi} e^{-\frac{1}{2}\left(\frac{x-\mu}{\sigma}\right)^2}$
  • What is a random variable with a Gaussian distribution called?

    <p>Normal deviate</p> Signup and view all the answers

    Why are normal distributions important in statistics?

    <p>Due to the central limit theorem</p> Signup and view all the answers

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