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 \(\text{Var}(4 - 3X)\).

Answered: 5. Suppose that E[X] = 2 and Var(X) =…

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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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Question

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 \(\text{Var}(4 - 3X)\).

Expert Solution

Step 1: Given information

E(X)=2, V(X)=6

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