Let X be a random variable with probability function f(x) = 36 1 49 x² Calculate the variance of X. 0.80 , x = 1,.., 3. 1.559 X Calculate the variance of Y = 2X+5.
Let X be a random variable with probability function f(x) = 36 1 49 x² Calculate the variance of X. 0.80 , x = 1,.., 3. 1.559 X Calculate the variance of Y = 2X+5.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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![Let \( X \) be a random variable with probability function
\[
f(x) = \frac{36}{49} \cdot \frac{1}{x^2}, \quad x = 1, \ldots, 3.
\]
Calculate the variance of \( X \).
(Incorrect answer: 0.80)
Calculate the variance of \( Y = 2X + 5 \).
(Correct answer: 1.559)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80864b91-d3a3-4910-ac0e-8d4cb607fd82%2F400d6ab6-31fc-484a-9e77-aa0efa698f33%2Fpghqlrn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let \( X \) be a random variable with probability function
\[
f(x) = \frac{36}{49} \cdot \frac{1}{x^2}, \quad x = 1, \ldots, 3.
\]
Calculate the variance of \( X \).
(Incorrect answer: 0.80)
Calculate the variance of \( Y = 2X + 5 \).
(Correct answer: 1.559)
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