MATH 302 Midterm: UBC_MATH_302_other_2018w_term_1_midterm_2_solutions
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Math 3o2 practice midterun 2 s ol ullwj, Instructions: write your name and student id on every page, this examination contains four questions worth a total of 100 points, write each answer very clearly below the corresponding question (use back of page if needed). Simplify your answer as much as possible (but answers may be in terms of elementary functions such as the exponential function): no calculators, books, notebooks or any other written materials are allowed, good luck! 2: (a) if x and y are independent r. v. "s with probability density functions fy and fy, respectively, what is the probability density function of. 6 f,o , t. l* jiof r | 4"$ frta) d " (b) assume x is uniform on [0,1] and y is exponential with rate 1. , - l e " $ i e. 1 f t " a " " d i * l o " t + t )
