Let X be a normal random variable with mean 2 and standard deviation 1. Which of the following statement is true? A -2X+5 is a normal random variable with mean 1 and standard deviation 3. B 2X-1 is a normal random variable with mean 3 and standard deviation 1. C -2X+5 is a normal random variable with mean 1 and standard deviation 2. D 2X-1 is a normal random variable with mean 2 and standard deviation 4.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Let X be a normal random variable with mean 2 and standard deviation 1. Which of the following
statement is true?
A -2X+5 is a normal random variable with mean 1 and standard deviation 3.
B 2X-1 is a normal random variable with mean 3 and standard deviation 1.
C -2X+5 is a normal random variable with mean 1 and standard deviation 2.
D 2X-1 is a normal random variable with mean 2 and standard deviation 4.
Transcribed Image Text:Let X be a normal random variable with mean 2 and standard deviation 1. Which of the following statement is true? A -2X+5 is a normal random variable with mean 1 and standard deviation 3. B 2X-1 is a normal random variable with mean 3 and standard deviation 1. C -2X+5 is a normal random variable with mean 1 and standard deviation 2. D 2X-1 is a normal random variable with mean 2 and standard deviation 4.
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