well since i am throwing two different dice and squaring them, this means that they are independent, shouldn't I be able to use var(x+y)=var(x)+var(y)?
VAR(A^2+B^2)=E(A^4)-E(A^2)^2+E(B^4)-E(B^2)^2
Homework Statement
Lets say I roll 2 fair dice and take the sum of the square of each dice. What formula will be the variance?
Homework Equations
var(x)=e(x^2)-e(x)^2The Attempt at a Solution
For dice A;
E(A)=3.5
E(A^2)=91/6
^ same for dice B.
VAR(A^2+B^2)=E(A^4)-E(A^2)^2+E(B^4)-E(B^2)^2 ?
Homework Statement
Two teams, teams A and B, are competing in a tournament. Suppose the tournament is a ‘best-of-3’ series; in other words, the first team to win 2 games wins the tournament. Let’s suppose that team A has a slight edge on team B, such that the probability that team A...