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Please complete the following problem correctly, showing all steps and work:

B. Use the properties of expected value and variance, show If X is a random variable with mean μ and variance σ, then Y--μ has mean 0 and variance o2. (7.5 points) a. b. If X mean 0 and variance 1. (7.5 points) is a random variable with mean μ and variance σ. the n Z = (X-μ)/σ has

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