Question 1: Suppose that the random variables X, Y and Z have the following joint probability distribution. Determine the following: a) P(X = 2), b) Р(X %3D 1,Y %3D2), c) P(Z <1.5), d) e) P(X = 1 or Z = 2), f) E(X), g) P(X = 1 |Y = 1) h) P(X = 1,Y = 1| Z = 2), i) P(X = 1|Y = 1,Z = 2). f xvz(x, y, z) 1 1 0.05 2 0.10 1. 1 0.15 0.20 2 1. 0.20 2 0.15 2 0.10 2 2 0.05 %3D 1221

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Q: 1. If the joint probability distribution of X and Y is given by f(x,y)= **Y for x=0,1,2,3; y=0,1,2,…

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Q: 10) Joint probability distribution of X and Y are given. Give E(Y). XIY 0 2 Pi -1 0.2 0.3 ? 2 0.4…

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Q: 4. Determine the values of c so that the following functions represent joint probability…

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Q: fx, (x) = 0.1 0.95-r

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.