Unformatted text preview: X and Y . (c) Show that X and Y are independent. Use any theorems you know. (3) [30 pts] Find the density f X + Y ( z ) of X + Y . Note that it is a piecewise function. You do not have to simplify expressions. (4) [0 pts] Would you prefer a take-home ﬁnal due at noon on 12-5 (Monday of reading period) or an in-class ﬁnal on 12-14 from 7-9:30pm. Say how strong your opinion is from 0 to 10 with 0 being for take-home, 10 being for in-class....
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- Variance, Probability theory, Continuous function, probability density function