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** all these questions are given without real numbers, you can answer them by using your own choi...

** all these questions are given without real numbers, you can answer them by using your own choice of numbers if you'd like (just specify "let mu = ").

1) if you were given an exponential X, uniform Z, and it is defined that Y=X+Z , and X and Z are independent, how would you find Var[Y] ?

2) if you are given a Gaussian random variable X with a specified mu and sigma, how would you find the probability that X is greater than some value ? (use phi)

3) if you are given a Gaussian random variable through an equation, how would you solve for for E[x^2] ?

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