Question
Find the value of the constant $k$ so that the function is a joint probability density function on $D$.$$f(x, y)=k x^{2} y ; D=\{0 \leq x \leq 1 ; 1 \leq y \leq 2\}$$
Step 1
The domain D is defined as $0 \leq x \leq 1$ and $1 \leq y \leq 2$. So, we need to perform the double integral of the function $f(x, y) = kx^{2}y$ over this domain. Show more…
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