For X∼N(μ,σ2)X \sim N(\mu, \sigma^2)X∼N(μ,σ2), what is the transformation Z=X−μσZ = \frac{X-\mu}{\sigma}Z=σX−μ used for?
Normalizing the variable to N(0,1)N(0, 1)N(0,1)
Calculating the mode
Finding the variance
Checking for symmetry