Question

Let $X$ be a random variable with $E[X] = 8$ and $Var(X) = 4$. Let $Y = -1X + 3$. 1. Find the expectation $E[Y]$ of $Y$. 2. Find the variance $Var(Y)$ of $Y$. Instructions on how to input the answer: Round your answer to exactly 4 decimal places, even if it is 0 which is expected to be written $0.0000$. Input the string of the answers separated by a comma. Do not include any space in the text. $(E[Y], Var(Y)) = (\_)$.

Name: let x be a random variable with ex 8 and varx 4 let y 1x 3 1 find the expectation ey of y 2 find the variance vary of y instructions on how to input the answer round your answer to exactly 4 78682
Uploaded: 2022-02-28T20:12:23-08:00
Duration: 2 min 44 s
Channel: David Nguyen
Description: let x be a random variable with ex 8 and varx 4 let y 1x 3 1 find the expectation ey of y 2 find the variance vary of y instructions on how to input the answer round your answer to exactly 4 78682

          Let $X$ be a random variable with $E[X] = 8$ and $Var(X) = 4$. Let $Y = -1X + 3$.
1. Find the expectation $E[Y]$ of $Y$.
2. Find the variance $Var(Y)$ of $Y$.
Instructions on how to input the answer:
Round your answer to exactly 4 decimal places, even if it is 0 which is expected to be written $0.0000$. Input the string of the answers separated by a comma. Do not include any space in the text.
$(E[Y], Var(Y)) = (\_)$.

let x be a random variable with ex 8 and varx 4 let y 1x 3 1 find the expectation ey of y 2 find the variance vary of y instructions on how to input the answer round your answer to exactly 4 78682

Added by Mary G.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert David Nguyen

02/28/2022

Step 1

- The expectation of $X$ is $E[X] = 8$. - The variance of $X$ is $Var(X) = 4$. - A new random variable $Y$ is defined as $Y = -1X + 3$. We need to find: 1. The expectation $E[Y]$ of $Y$. 2. The variance $Var(Y)$ of $Y$. Step 2: Calculate $E[Y]$. The properties Show more…

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Let $X$ be a random variable with $E[X] = 8$ and $Var(X) = 4$. Let $Y = -1X + 3$. 1. Find the expectation $E[Y]$ of $Y$. 2. Find the variance $Var(Y)$ of $Y$. Instructions on how to input the answer: Round your answer to exactly 4 decimal places, even if it is 0 which is expected to be written $0.0000$. Input the string of the answers separated by a comma. Do not include any space in the text. $(E[Y], Var(Y)) = (\_)$.