Podcast
Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App
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?
Signup and view all the answers
Why are normal distributions important in statistics?
Why are normal distributions important in statistics?
Signup and view all the answers
Flashcards are hidden until you start studying
