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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 35E

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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.

Question

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),

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

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