1. Consider the joint pdf f (x,y) = 3(x² + y)/11 for 0 )


please find the question attached


1. Consider the joint pdf<br>f (x,y)<br>= 3(x² + y)/11<br>for<br>0<br>) < x < 2, () < y < 1.<br>2.0<br>(a) Plot the joint pdf f(x, y).<br>(b) Show that the marginal pdf of X is<br>f#(x) = 3(2x² + 1)/22<br>for<br>0 < x < 2.<br>Plot f.(x).<br>(c) Derive the marginal pdf of Y, f,(y). Plot f,(y).<br>(d) Derive the conditional pdf of Y given X,f(y|x). Plot f(y|x) for X = 0, 1,2.<br>(e) Derive the CEF of Y given X.<br>(f) Calculate E(X),E(Y), E(X²), E(Y²), E(XY), Var(X), Var(Y), Cov(X,Y)<br>(g) edictor of Y given X.<br>Find the beşt linear pr<br>(h) Plot the CEF and BLP as a function of X.<br>

Extracted text: 1. Consider the joint pdf f (x,y) = 3(x² + y)/11 for 0 ) < x="">< 2,="" ()="">< y="">< 1.="" 2.0="" (a)="" plot="" the="" joint="" pdf="" f(x,="" y).="" (b)="" show="" that="" the="" marginal="" pdf="" of="" x="" is="" f#(x)="3(2x²" +="" 1)/22="" for="" 0="">< x="">< 2.="" plot="" f.(x).="" (c)="" derive="" the="" marginal="" pdf="" of="" y,="" f,(y).="" plot="" f,(y).="" (d)="" derive="" the="" conditional="" pdf="" of="" y="" given="" x,f(y|x).="" plot="" f(y|x)="" for="" x="0," 1,2.="" (e)="" derive="" the="" cef="" of="" y="" given="" x.="" (f)="" calculate="" e(x),e(y),="" e(x²),="" e(y²),="" e(xy),="" var(x),="" var(y),="" cov(x,y)="" (g)="" edictor="" of="" y="" given="" x.="" find="" the="" beşt="" linear="" pr="" (h)="" plot="" the="" cef="" and="" blp="" as="" a="" function="" of="">

Jun 10, 2022
SOLUTION.PDF

Get Answer To This Question

Related Questions & Answers

More Questions »

Submit New Assignment

Copy and Paste Your Assignment Here