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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.
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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
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