Let et = -1, 0, 1, ... be a sequence of independent, identically distributed random variables with mean 1 and variance 4. Define a stochastic process by xt = (1/2)et - (1/4)et-1, t = 1, 2, ...i. Find E(xt)ii. Find V(xt)iii. Find Corr(xt, xt 1)iv. Find Corr(xt, xt 2)v. Is the series xt weakly dependent? Explain.

If X1, X2, X3, X4, X5 are independent and identically distributed exponential random variables with the parameter λ, compute (a) P{min(X1, …, X5) ≤a}; (b) P{max(X1, …, X5) ≤a}. | Numerade

Independent Random Variables