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SHORT ANSWER ( You must show all work to receive partial credit. All answers must be rigorously justified using concepts and

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8444) Pyly ofer pv PitP2 TIP3 | P4 P3 + P4 P(x) PitP3 P2 + Py Px(x)2 Py ly) - Marginal pdf of x Marginal pdf of 4 6) ELELYIx]• Far x=0, Y=0 i 841x Cyla)= P10g) = Ploo) - Pi Px(0) P&P3 Pxco) For x=0,421 (ارہ)P . Pyx (41x)= Pxto) Pitp3 i. Pysy to can bE[4x] = {y Pylx lyx) = + 1x 0X PL PitP3 P3 PitP3 P3 pidP3 & El € [4/x]] = PitP3 c) E[x+/y=1] = {xt Px/y (x1y=1) P21 Pyly (214Far xal Pxly Caly=1) - PUI) = Pyll) P₃ + P4 50) Pxly can be written as x = x Pxly Calyas) V4 per canyons P3 3+ Py Pzt Py >> E

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