# expected

1. ### Expected value and variance problem

K,L,M (independent random variables) E(K)=E(L)=c, E(M)=d, V[K]=f, V[L]=V[M]=g E[(MK+L+2M)^2]=? and V(K+L+M) derive variances and covariances ?

16. ### Complicated expected value

Hi everyone, I have a problem in caltulating an expected value: E(X+Y+Z)^2(X-Y+1)^2, where X,Y,Z are independend standard normal random variables. I've tried to multiply out brakets and use linearity of expected value, but even then I don't know how to calculate e.g. E(X^3Y). Does someone have...
17. ### Expected value of S&P 500

Compute the expected value of Log S_n+1/Sn, where Sn denoted the value of S&P500 at time n . Using u=1.0063 and d=.993738. The answer should be in terms of p and q. Using Historical prices of the here. Use this estimate to compute p and q.
18. ### Poisson Distribution Problem

Assume that when the German plays Hungary in soccer, each team scores independently as a homogeneous Poisson process with rates λGermany = 1 and λHungary = 3 goals per game. a) Expected number of total goals in a single game. b) Expected number of total goals scored in the first half, given...
19. ### Poisson Distribution Problem

Sorry, disregard. I put this in wrong thread.
20. ### Expected Value

Can someone show the solution to this? The hypotenuse, Y , of the isosceles right triangle shown is a random variable having a uniform pdf over the interval [6, 10]. Calculate the expected value of the triangle’s area.