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 takehome ﬁnal due at noon on 125 (Monday of reading period) or an inclass ﬁnal on 1214 from 79:30pm. Say how strong your opinion is from 0 to 10 with 0 being for takehome, 10 being for inclass....
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 '08
 PROTSAK
 Variance, Probability theory, Continuous function, probability density function

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