Probability Theory Question of the Day

Test your knowledge with a hand-picked multiple-choice question.

Let $\uptext{X}$ , and $\uptext{Y}$ be the lifespans (in hours) of two electronic devices, and their joint probability mass function is given below.

$\operatorname{f_{X,Y}}{\left (x,y \right )} = \begin{cases} c e^{- 9 x - 11 y} & 0<x<y<\infty \ 0, & \text{Otherwise} \end{cases}$

Determine the value of $\uptext{c}$ .

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