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Show that V ar(aX + b) = a2V ar(X).  V ar(c) = 0 for any constant c.

Show that V ar(aX + b) = a2V ar(X).  V ar(c) = 0 for any constant c.

A First Course in Probability (10th Edition)
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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Show that V ar(aX + b) = a2V ar(X). 

V ar(c) = 0 for any constant c.

Expert Solution
Step 1: We write the given information in this step.

Solution-:

We want to show that.

V a r left parenthesis a X plus b right parenthesis equals a squared asterisk times V a r left parenthesis X right parenthesis   Where, Var (c) =0  for any constant.

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