Property 4. If X is a random variable and a and b are constants, then E (a X + b) = a E (X) + b, provided all the expectations exist.
Property 4. If X is a random variable and a and b are constants, then E (a X + b) = a E (X) + b, provided all the expectations exist.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Prove the propoerty
![Property 4. If X is a random variable and a and b are constants, then
E (a X + b) = a E (X) + b,
%3D
provided all the expectations exist.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdb007501-3105-4092-9424-569223a9ca16%2F412a3cab-1512-4be8-949d-e3401a0da9b0%2Fp2brw1d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Property 4. If X is a random variable and a and b are constants, then
E (a X + b) = a E (X) + b,
%3D
provided all the expectations exist.
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