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 (A)</p> Signup and view all the answers

A normal distribution is asymmetrical around its mean.

<p>False (B)</p> Signup and view all the answers

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

<p>False (B)</p> Signup and view all the answers

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

<p>True (A)</p> Signup and view all the answers

A normal distribution is a discrete distribution.

<p>False (B)</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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