Consider the functionFind the relationship between the positive constants andsuch that
Chapter 0, Problem 11(choose chapter or problem)
Consider the function
\(f(x, y)=\left\{\begin{array}{ll} k e^{-(x+y) / a}, & x \geq 0, y \geq 0 \\ 0, & \text { elsewhere } \end{array}\right.\)
Find the relationship between the positive constants a and k such that f is a joint density function of the continuous random variables x and y.
Text Transcription:
f(x, y)={ke^-(x+y)/a, x geq 0, y geq 0 _ 0, elsewhere
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