hi,

if I understand your question correctly the answer is that the equation x1+x2+x3+x4+x5 = 5*x is not valid. the x1 , x2 etc are the same random variable in the sense that they have the same distribution, but the actual values will be different - as in running the same random number generator 5 times. Obviously you will get 5 different values. 5*x would mean that you generate a single random value and add that one value 5 times - something completely different.

regards