Question: 7.4.5 Random variables (XI Y ) have a joint density Ic(az+by) i f O < z < 2 2 , O < y < 2

7.4.5 Random variables (XI Y ) have a joint density Ic(az+by) i f O < z < 2 2 , O < y < 2 f(X1Y) = { 0 otherwise, where a > 0, b > 0 are given constants. Find: (i) The value of k as a function of a and

b. (ii) The density of random variable 2 = 1/(Y + 1)2. (Hint: Express F ( t ) = P{ 2 5 t } in terms of the cdf of Y.)

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