Qi Wang, Department of Statistics
Oct 31, 2018
So, what if you need different probabilities for $X \sim N(\mu, \sigma)$? We'd need an infinite number of tables or a way to calculate the probabilities for infinite combination of and values. One way is through calculus (i.e. integrate the pdf) OR We standardize (convert) the particular normal distribution and use ONE TABLE for all.
$P(Z \le z-score)$ is what you will find on the Normal table. To use the table:
Use the Normal table to find the following probabilities:
If $X\sim N(\mu = 4, \sigma = 1.5)$, use the Normal table to find the following probabilities: