Example 9 -1 3 3 Р(Х %3Dх) 8 Now let Y = 3X – 1. Calculate E[Y] M|8|

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
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For this question i am confused on the steps/ process of substitutting Y=3x-1

Example 9
-1
3
3
Р(Х %3Dх)
8
Now let Y = 3X – 1. Calculate E[Y]
M|8|
Transcribed Image Text:Example 9 -1 3 3 Р(Х %3Dх) 8 Now let Y = 3X – 1. Calculate E[Y] M|8|
Expert Solution
Step 1

From the provided information, Y = 3X – 1

Substituting the value of X = -1, 0, 1, 2 the Value of Y can be obtained as:

For X = -1
Y = (3×-1)–1
=-4
For X = 0
Y = (3×0)-1
=-1
For X =1
Y = (3×1) –1
= 2
For X = 2
Y = (3×2)-1
= 5
Step 2

The probability distribution table for Y can be constructed as:

-4 |-1| 2 5
P(Y =y)
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