Joint distributions for X, Y, and Z: Y=0 Y=1 Y=0 Y=1 X=0 0.125 0.125 0.405 0.045 X=1 0.125 0.125 0.045 0.405 Z=0 Z=1 a) Find conditional distribution of X and Y given Z=0 b) Find conditional distribution of X and Y given Z=1 c) Show that X and Y are independent given Z d) Find the marginal distribution of X and Y e) Show that X and Y are not marginally independent

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Q: (p) | (2) dz =.

A: From x=3 to x=5, there is a triangle with base= 2 and height = -3  So the area of the triangle is:…

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A: Sol:-We need to use Bayes' theorem to calculate this probability.  Let A be the event that Stage 3…

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A: Given that,Let P be the set of all vectors of the form 7s+2tst , where s and t are arbitrary.We need…

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Q: The table shows the movement of a stock for 30 randomly selected trading days. "Up" means the stock…

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