Problem 3: A discrete RVX takes the values: x1​=−2x2​=−1x3​=0x4​=+1x5​=+2​ with with with with with ​P(X=−2)=0.1,P(X=−1)=0.2,P(X=0)=0.3,P(X=+1)=0.15,P(X=+2)=0.25,​ The random variable X is transformed into another RVY using the following transformation: Y=(X−1)2 Find the following a) Sketch accurately the PDF of X showing all important values on the sketch. b) Sketch accurately the PDF of Y showing all important values on the sketch. c) σX2​ d) σY2​ e) E[XY]−E[X]E[Y]