Exercise 1 – Fill the Gaussian pdf
Fill the three blanks to write the probability density function of a univariate Gaussian (Normal) distribution with mean \(\mu\) and standard deviation \(\sigma\):
\[
p(x) = \frac{input1}{input2\sqrt{input3}} \, \exp\left( - \frac{1}{2}\left(\frac{{input4}}{{input5}}\right)^2 \right)
\]
Type only what goes inside each blank.
Accepted formatting examples:
Hint: The first three blanks are the normalizing constant, the fourth is the distance from the mean, and the fifth is the standard deviation term inside the exponent.
Accepted formatting examples:
2 sigma, pi - sigma, x sigma.Hint: The first three blanks are the normalizing constant, the fourth is the distance from the mean, and the fifth is the standard deviation term inside the exponent.