Probability Help: Formulas for Random Variables with Mean 5 and Variance 12

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xhallie
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So I took probability last year, and for one of my classes we have an optional refresher worksheet, but I cannot remember how to deal with random variables :(

I don't need the answer -- just some guidance on what formulas to use please!

x is a random variable with mean 5 and variance 12.

y = 3 + 9x

a) what is the expected valued of y?

b) what is the variance and SD of y?

c) is y normally distributed?

thank you so much!
 
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