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Questions and Answers
What is the parameter representing the mean or expectation of the normal distribution?
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?
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?
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?
What is a random variable with a Gaussian distribution called?
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Why are normal distributions important in statistics?
Why are normal distributions important in statistics?
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