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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

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

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Suppose that the random variables X, Y and Z have the following joint probability distribution (check the attached image). Determine the following:

a) P(X = 2),

b) P(X = 1, Y = 2),

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).

Question 1: Suppose that the random variables X, Y and Z have the following joint probability distribution. Determine the following: а) Р(Х %3D 2), b) P(X = 1,Y = 2), с) Р(Z <1.5), d) e) Р(Х %3D 1 оr Z %3D2), 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). fxvz(x, y, z) 1 0.05 1 1 2 0.10 2. 1 0.15 1 2 2 0.20 2 1 1 0.20 2. 1 2 0.15 2 2 1 0.10 2 2 2 0.05 %3D
Transcribed Image Text:Question 1: Suppose that the random variables X, Y and Z have the following joint probability distribution. Determine the following: а) Р(Х %3D 2), b) P(X = 1,Y = 2), с) Р(Z <1.5), d) e) Р(Х %3D 1 оr Z %3D2), 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). fxvz(x, y, z) 1 0.05 1 1 2 0.10 2. 1 0.15 1 2 2 0.20 2 1 1 0.20 2. 1 2 0.15 2 2 1 0.10 2 2 2 0.05 %3D
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