Suppose the random variables X, Y, and Z have the following joint probability distribution. Determine: a. P(X=1|Y=1) b. Conditional probability distribution of X given that Y=1 and Z=2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 31E
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Suppose the random variables X, Y, and Z have the following joint probability
distribution.
Determine:
a. P(X=1|Y=1)
b. Conditional probability distribution
of X given that Y=1 and Z=2.

a project team. Let X and Y denote the
mechanical engineering majors, respecti
b. fx(x)
dom variables X, Y, and Z have the follo
y
f(x, y, z)
1
1
1
0.05
1
1
0.10
1
2
1
0.15
1
2
2
0.20
1
1
0.20
2
1
2
0.15
2
2
1
0.10
2
0.05
pability distribution
Y=1 and Z=2.
Transcribed Image Text:a project team. Let X and Y denote the mechanical engineering majors, respecti b. fx(x) dom variables X, Y, and Z have the follo y f(x, y, z) 1 1 1 0.05 1 1 0.10 1 2 1 0.15 1 2 2 0.20 1 1 0.20 2 1 2 0.15 2 2 1 0.10 2 0.05 pability distribution Y=1 and Z=2.
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