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September 28th, 2018, 12:17 AM   #1
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How do I find the mean of Z = Discrete RV + a Gaussian RV?

Hello, I am asked to find mean and variance of Z. (image in attachment)

Since I am solving a preparatory examen to study, it is not clear to me how to approach the topic because I don't understand the question correctly.

What are the steps to follow given the nature of the RV "Z" ?, which is formed by two different types of RV's.

Thank you
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September 28th, 2018, 01:08 PM   #2
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$W=\frac{X-m}{\sigma}$. The mean of the sum is the sum of the means. The variance of the sum of independent random variables is the sum of the variances.
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