Question

Transforming a standard normal random variable to the general normal random variable with mean mu, and standard deviation sigma

Answer 1

ok so i see that the equation is \[Z * \sigma + \mu = X\]

Answer 2

but how would you go about doing this transformation? He has it in the notes but there are no examples

Answer 3

guesssing it would be something like X ~ N[10,45] Find P(x<55)... something like that

then you would do P[Z∗σ+μ < X < Z∗σ+μ]
something like that?