I'm preparing for Probability Theory and Mathematical Statistics exam and I've got some struggles with one exercise.
I'm analyzing Question 1 c)
I just don't understand where did bounders $[3.5,4]$ come from:
Can anyone help me?
2026-03-25 17:17:04.1774459024
Probability question about convolution
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The function $f_Y(4.5-\alpha)$ only has support on $\alpha \in [3.5, 4.5]$ and $f_X(\alpha)$ only has support on $\alpha \in [0, 4]$ so their product only has support on $\alpha \in [3.5,4]$. Try plotting the functions to see this better.