# Normal Distribution Quick Q

1. ### zmike

103
I am a bit confused with the notation, Whenever I see N(mu,alpha) does that mean the data set is normal and does it also mean that it's standard normal?

Is there a difference between using Z~N(mu,alpha) vs. X~N(mu,alpha)? does the Z indicate standard normal?, if so why don't we just use Z(mu,alpha)?

Can I still use this notation N(_,_) when the data set is NOT normal?