EL ENG 126 Study Guide - Midterm Guide: Sample Space, Blood Test, Pebibyte
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Eecs 126 probability and random processes university of california, berkeley: spring 2015. If you are caught cheating, you may fail the course and face disciplinary consequences. Please read the following remarks carefully: show all work to get any partial credit, take into account the points that may be earned for each problem when splitting your time between the problems. Problem 1 [40] answer the following problems brie y but clearly. (a) [10] let x be a continuous random non-negative variable (i. e. it has a density function, fx (x) ) with strictly increasing cdf fx . Find the density functions of y = x and. Let fy (y) be the cdf of y . Fy (y) = p(y y) = p( x y) = p(x y2) = fx (y2). Di erentiating with respect to y , we obtain fy (y) = 2yfx (y2). Note that z can only take values in the interval [0, 1] .
