let y be a discrete random variable with mean and variance 2 if a and b are constants prove that

Name: let y be a discrete random variable with mean and variance 2 if a and b are constants prove that vayb a2vy a22 05332
Uploaded: 2021-04-24T14:22:42-08:00
Duration: 3 min 10 s
Channel: Christopher Stanley
Description: let y be a discrete random variable with mean and variance 2 if a and b are constants prove that vayb a2vy a22 05332

Question

Let Y be a discrete random variable with mean μ and variance σ^2. If a and b are constants, prove that V(aY+b) = a^2V(Y) = a^2σ^2.

          Let Y be a discrete random variable with mean μ and variance σ^2. If a and b are constants, prove that V(aY+b) = a^2V(Y) = a^2σ^2.

Added by Robert B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Christopher Stanley

04/24/2021

Step 1

Step 1: Recall that the variance of a random variable Y is defined as V(Y) = E[(Y - μ)^2], where E denotes the expected value and μ is the mean of Y. Show more…

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