TAZ

Let X1 , X2 , X3 be i.i.d. Binomial random variables with parameters n=2 and p=1/2 . Define two new random variables Y1 =X1−X3, Y2 =X2−X3. We further introduce indicator random variables Zi∈{0,1} with Zi=1 if and only if Yi=0 for i=1,2 . Calculate the cov...

Starting at time 0, a red bulb flashes according to a Poisson process with rate λ=1 . Similarly, starting at time 0, a blue bulb flashes according to a Poisson process with rate λ=2 , but only until a nonnegative random time X , at which point the blue bu...

1) 4 2) 1/3 3) 1/3 4) ????? 5) ?????

1) Cov(Y1,Y2) = -1/4 2) Var(Z1)= ??????