Normally distributed random variables
Im finding it hard to understand why you can do the following transformation of
to get from a normally distributed random variable with mean 0 and standard deviation of 1 to a normally distributed random variable with a specific mean and standard deviation:
mean + standard deviation 
Finding it difficult to see the intuition behind multiplying by std. dev. and adding the mean.
This is a pretty fundamental thing to understand so would be grateful for any help.
Cheers,
Peter