Normal Distribution times constant

BigBugBuzzz

New Member
I can't seem to find anything about this on the web. If I have a random variable distributed Normally:

x ~ Normal(mean,variance)

is the distribution of the random variable still normal if I multiply it by a constant, and if so, how does it affect the mean and variance?

ledzep

Point Mass at Zero
Regarding what the mean E(.), and variance, var(.), can you work out these??
$$E(aX)=??$$
$$Var(aX)=??$$