STAT 5100 Final: STAT 5100 Iowa Final Exam b
Document Summary
Please write your answers in the exam books provided: let x, y1, and y2 be independent random variables with x n( x, 2, and. Yi n( y , 2 (a) find the means and variances of z1 and z2. Let zi = x + yi for i = 1, 2. (b) find the covariance and correlation of z1 and z2: the conditional density of y given x = x is xe xy for y > 0. Find the density of x = v /u : let x1, . , xn be a random sample from an exponential( ) population with density f (x| ) =( e x. 0 for x 0 otherwise for some > 0. Let x be the number of letters assigned to the correct envelopes. 0 if the i-th letter is assigned to the correct envelope otherwise, and consider how x is related to y1, . Some distributions x(cid:1)px(1 p)n x; x = 0, 1, .
