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) = {Cx(1 + y) [Cx(1+y) if 0≤x≤ 3,0 ≤ y ≤ 4 otherwise (a) Find the value of the constant C. (b) Find P(X ≤ 1, Y ≤ 1). (c) Find P(X + Y ≤ 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.)
11.
Cx(1+y) if 0 ≤ x ≤ 3,0 ≤ y ≤ 4
otherwise
(a) Find the value of the constant C.
f(x, y)
(b) Find P(X ≤ 1, Y ≤ 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.) 11. Cx(1+y) if 0 ≤ x ≤ 3,0 ≤ y ≤ 4 otherwise (a) Find the value of the constant C. f(x, y) (b) Find P(X ≤ 1, Y ≤ 1). (c) Find P(X + Y ≤ 1).
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