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Random Variables and its Probability Distributions
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f x y x y cases x y 0 x 1 0 y 1 0 otherwise cases
Question:
\(f_{x,y}(x,y)=\begin{cases} (x+y) & \quad 0\le x\le 1,0\le y\le 1 \\ 0 & \quad \text{otherwise } \end{cases}\)
The Probability
\(P(x+y\le1)\)
is:
CUET (PG) - 2023
CUET (PG)
Updated On:
Apr 28, 2025
\(\frac{2}{3}\)
\(\frac{1}{3}\)
\(\frac{1}{6}\)
\(\frac{1}{2}\)
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The Correct Option is
B
Solution and Explanation
The correct option is(B):
\(\frac{1}{3}\)
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