Question: not sure how to approach this problem! 4. Consider the symmetric triangular pdfs fx and fy in Figures 1 and D. fy Figure 2: Shifted

not sure how to approach this problem!

4. Consider the symmetric triangular pdfs fx and fy in Figures 1 and D. fy Figure 2: Shifted symmetric triangle distribution (a) Find the value of c (the height of the triangle's peak). (b) Let X ~ fx. Find a transformation Y = aX + b such that Y ~ fy. (c) For the X and Y defined in Part (b), find P(Y > 2X - ?). (d) Find and plot the pdf fz of Z = X2, clearly showing its peak value, symmetry, and convexity / concavity if any

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