The Joint Density Function for Random Variables X and Y

question 69

Short Answer

The joint density function for random variables x and y is $f ( x , y ) = \left\{ \begin{array} { c c } \frac { 1 } { 21 } ( x + y ) & \text { if } 0 \leq x \leq 3,0 \leq y \leq 2 \\0 & \text { otherwise }\end{array} \right.$ Find the probability $P ( x \leq 2.5 , y \geq 0.2 )$ .Give your answer to 3 decimal places.

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