Multiplication of normal distribution

[garyljc]

I was wondering what owuld the outcome be if I multiply both normal distribution
eg N (5, 100 ) and M ( 10,100 )

i know the operations for addition and subtraction
but what if N.M
what do i get ?

 

[Dick]

The product of two normal distributions is not a normal distribution (unlike for sums and differences). It's called (I think) a normal product distribution.

 

[garyljc]

so how would the mean and sd be ?