Suppose that the random variables X,Y and Z have the following joint probability distribution. z f(r, y, z) 1 1 1 1 1 2 1 2 1 1 2 2 2 1 1 2 1 2 0.05 0.10 0.15 0.20 0.20 0.15 2 2 1 0.10 2 2 2 0.05...

Suppose that the random variables X,Y and Z have the following joint probability<br>distribution.<br>z f(r, y, z)<br>1 1 1<br>1 1 2<br>1 2 1<br>1 2 2<br>2 1 1<br>2 1 2<br>0.05<br>0.10<br>0.15<br>0.20<br>0.20<br>0.15<br>2 2 1<br>0.10<br>2 2 2<br>0.05<br>Determine the following<br>(a) P(Z < 1.5)<br>(b) P(X = 1, Y = 1|Z = 2)<br>(c) P(X = 1 or Z = 2)<br>(d) Conditional probability distribution of X given that Y = 1 and Z = 2.<br>

Extracted text: Suppose that the random variables X,Y and Z have the following joint probability distribution. z f(r, y, z) 1 1 1 1 1 2 1 2 1 1 2 2 2 1 1 2 1 2 0.05 0.10 0.15 0.20 0.20 0.15 2 2 1 0.10 2 2 2 0.05 Determine the following (a) P(Z < 1.5)="" (b)="" p(x="1," y="1|Z" =="" 2)="" (c)="" p(x="1" or="" z="2)" (d)="" conditional="" probability="" distribution="" of="" x="" given="" that="" y="1" and="" z="">

Jun 03, 2022

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Suppose that the random variables X,Y and Z have the following joint probability distribution. z f(r, y, z) 1 1 1 1 1 2 1 2 1 1 2 2 2 1 1 2 1 2 0.05 0.10 0.15 0.20 0.20 0.15 2 2 1 0.10 2 2 2 0.05...

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