Im having a bit of trouble with this problem: $X\sim Bin(10,0.75)$ I need to find the expected value of $17x-6.4$.
First I thought about using the linearity properties, but i think linearity is only valid in uniform distribution and not in Binomial. So what is the trick here?
Let $X,Y$ be arbitrary random varibles,
$E(X+Y)=EX+EY$
So $EX=10 \times 0.75=7.5$ Hence $E(17X-6.4)=17 \times 7.5-6.4=121.1$