# Math Help - Multiple Random Variables

1. ## Multiple Random Variables

can some one tell me what I need to do ? I'm lost.

I don't see what relationship I need to use to calculate their average.

2. a) Try to use the CLT. You have to calculate $P(|\bar{X} - mu| \geq 6)$ using the change of variable $Z = (\bar{X} - \mu)/\var{\bar{X}}$

b) Since all the variables are independent,
$E(e^{t\sum_{k=1}^{36} X_k}) = E(e^{tX_1}) \dots E(e^{tX_{36}}) = \left(E(e^{tX_1})\right)^{36}$
and since you the distribution of X, you know the mgf.