X is a random variable with distribution X 1 P(x) 0.4 0.6 X1 and X2 are two random variables and both have the same distribution as X. Let Y = X1 - X2. Find the distribution of Y. Y -0 Y -1 1 P(y) 0.25 0.50 0.25 Y -1 1 Ру) 0.24 0.52 0.24 Y 2 P(y) 0.16 0.48 0.36

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
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X is a random variable with distribution
X
1
P(x)
0.4
0.6
X1 and X2 are two random variables and both have the same distribution as X. Let Y = X1 - X2. Find the distribution of Y.
Y = 0
Y
-1
1
P(y)
0.25
0.50
0.25
Y
-1
1
P(y)
0.24
0.52
0.24
Y
1
2
P(y)
0.16
0.48
0.36
Transcribed Image Text:X is a random variable with distribution X 1 P(x) 0.4 0.6 X1 and X2 are two random variables and both have the same distribution as X. Let Y = X1 - X2. Find the distribution of Y. Y = 0 Y -1 1 P(y) 0.25 0.50 0.25 Y -1 1 P(y) 0.24 0.52 0.24 Y 1 2 P(y) 0.16 0.48 0.36
Expert Solution
Step 1

The following information is given in the question

X 0 1
P(x) 0.4 0.6

Now,

Since X1 and X2 have the same distribution as X

The possible values that Y = X1 - X2 can take are -1, 0, 1

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