6. X and Y are continuous random variables with joint PDF of: fx,y(x, y) = { a 0 <= y <= x <= 1 0 otherwise a. Are X and Y independent? Why? b. What is the value of a? c. Find the fx(x) d. Find the E(x) e. Find fy|x(y |x = 0.5)
Added by Elizabeth J.
Step 1
To determine if X and Y are independent, we need to check if the joint PDF can be factored into the product of the marginal PDFs of X and Y. If fx,y(x, y) = fx(x) * fy(y), then X and Y are independent. Show more…
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