the standard normal distribution is just a normal distribution with μ = 0 and σ^2 = 1. it turns out that if we standardize a normal random variable X with parameters μ, σ in the following way   z = x-μ/σ the expected value of the transformation is 0 and variance is 1. so if Z = 0.2, when μ=3 and σ= 0.2, what is the normal random variable X has value?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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the standard normal distribution is just a normal distribution with μ = 0 and σ^2 = 1. it turns out that if we standardize a normal random variable X with parameters μ, σ in the following way

 

z = x-μ/σ

the expected value of the transformation is 0 and variance is 1. so if Z = 0.2, when μ=3 and σ= 0.2, what is the normal random variable X has value?

 

 

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