The joint density function for a pair of random variables X and Y is given. (Round your answers to four decimal places.) f(x, y) = (x(1+y) if0sxs 2,05ys2 10 otherwise (a) Find the value of the constant C. 0 X (b) Find P(X s 1, YS 1). (c) Find P(X+Ys 1).

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The joint density function for a pair of random variables X and Y is given. (Round your answers to four decimal places.)
-{ox + n
(ox(1+y) if0sx≤ 2,0 ≤ y ≤2
otherwise
f(x, y) =
(a) Find the value of the constant C.
0
X
(b) Find P(X s 1, YS 1).
(c) Find P(X+Y≤ 1).
Transcribed Image Text:The joint density function for a pair of random variables X and Y is given. (Round your answers to four decimal places.) -{ox + n (ox(1+y) if0sx≤ 2,0 ≤ y ≤2 otherwise f(x, y) = (a) Find the value of the constant C. 0 X (b) Find P(X s 1, YS 1). (c) Find P(X+Y≤ 1).
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