Let X and Y be continuous random variables and the joint probability density function
is given by
$f_{X,Y}(x, y) = \begin{cases} c(4y^2 - x^2)e^{-y}, & \text{if } -2y \le x \le 2y, 0 < y < \infty \
0, & \text{otherwise} \end{cases}$
Input the value of c in the following box.
Hint: input the exact numerical value without rounding off, or keep exactly 4 decimal
places after the decimal point.
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the browser, say Google Chrome.
0.0156
Question 4
(Continue from Question 3)
What is the marginal probability density function of X?