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Ex1. f(x, y) = 1/y 0 < x < y, 0 < y < 1 0 otherwise (a) Determine whether X and Y are independent,

Ex1.

f(x, y) = 1/y 0 < x < y, 0 < y < 1

0 otherwise

(a) Determine whether X and Y are independent,

(b) Find P(X > 1 2 ).

(c) Find P(X < 1 2 , Y > 1 3 ).

(d) Find P(X + Y > 1 2 ).

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