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Let X and Y be independent random variables such that Var[X] = 4.8 and Var[Y ] = 9.7. [a] How can we prove that 2X and 3Y are independent? [b] What is the standard deviation of 2X + 3Y?

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

Let X and Y be independent random variables such that Var[X] = 4.8 and Var[Y ] = 9.7.

[a] How can we prove that 2X and 3Y are independent?

[b] What is the standard deviation of 2X + 3Y?

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