5. Suppose that E[X] = 2 and Var(X) = 6. (a) Compute E[(X + 1)²]. (b) Compute Var(4 + 3X). (c) Compute Var(4 - 3X).
5. Suppose that E[X] = 2 and Var(X) = 6. (a) Compute E[(X + 1)²]. (b) Compute Var(4 + 3X). (c) Compute Var(4 - 3X).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Please explain this into detials. Thank you!
![5. Suppose that \(E[X] = 2\) and \(\text{Var}(X) = 6\).
(a) Compute \(E[(X + 1)^2]\).
(b) Compute \(\text{Var}(4 + 3X)\).
(c) Compute \(\text{Var}(4 - 3X)\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F95551788-4ab7-4893-bf92-ae5328498de2%2F9afad503-981b-4c60-a4e0-523f68b73062%2Fyla4upt_processed.png&w=3840&q=75)
Transcribed Image Text:5. Suppose that \(E[X] = 2\) and \(\text{Var}(X) = 6\).
(a) Compute \(E[(X + 1)^2]\).
(b) Compute \(\text{Var}(4 + 3X)\).
(c) Compute \(\text{Var}(4 - 3X)\).
Expert Solution
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Step 1: Given information
E(X)=2, V(X)=6
Step by step
Solved in 3 steps with 1 images
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