STAT 5100 Final: STAT 5100 Iowa Final Exam
Document Summary
Please write your answers in the exam books provided: (5 points) let x and y have joint density fxy (x, y) =(24xy. 0 for x 0, y 0, x + y 1 otherwise. Find the marginal density of x/y : (5 points) let x1, . Given y , the random variables x1 and x2 are independent poisson random variables with mean y . Find the correlation of x1 and x2: (5 points) let x1, . , xn he a random sample from an exponential distribution with mean > 0. Let x n be the sample average and let un = n(x n )/x n. Find the limiting distribution of un as n tends to in nity: (5 points) let x1, x2, . , xn be random variables with common mean e[xi] = And covariances cov(xi, xj) = 2 |i j|, with 0 = 1.
