I am currently studying a course in statistics and probability. Due to current restrictions alot of the education is online.
There is an assigment a check that we understand the basic theory, in which we are supposed to pair up random varibles with the right approximative distridution using th central limit theory. The assignment reads:
"36 random varibles $X_1,....,X_{36}$ are independant and exponentially distributed with $E(X_i)=2$ and $V(X_i)=4$. Pair up the random varibles and the approximative distribution."
I got all of them besides one:
$X_{26}$ and $Exp(0.5)$
I've read through the textbook and I don't understand how this connection is made. All of the otherpair ups were fairly easy.
What I've got is : $X\in Exp(a), E(X)=a$ and $V(X)=a^2$
I can't connect the dots here, can someone help me out?
Thanks!