General normal distributions

Question 1

Relation between general normal distribution and standard normal - 2

Answer 1

• If X is normally distributed (mean μ and standard deviation σ) then a shifted and rescaled version Z has a standard normal distribution
• Z = (X - μ) / σ

Question 2

z score value of x - 2

Answer 2

• Number of standard deviations away from the mean

- z = (x - μ) / σ