Example 10 : If X is a continuous random variable and Y = aX + b, prove that = a E(X) + b and V(Y) = a².V(X), where V stands for variance and a, b are E(Y) constants.
Example 10 : If X is a continuous random variable and Y = aX + b, prove that = a E(X) + b and V(Y) = a².V(X), where V stands for variance and a, b are E(Y) constants.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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![Example 10 : If X is a continuous random variable and Y = aX + b, prove that
E(Y)
= a E(X) + b and V(Y) = a².V(X), where V stands for variance and a, b are
constants.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70867bec-7810-4ee9-b769-ffb3f174be0f%2Febaa3ccc-7a3c-4970-ba70-0fade2bd8b14%2F5mko1yn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Example 10 : If X is a continuous random variable and Y = aX + b, prove that
E(Y)
= a E(X) + b and V(Y) = a².V(X), where V stands for variance and a, b are
constants.
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