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Let U, V, and W be independent standard normal random variables (that is, independent normal random variables, each with mean 0 and variance 1), and let X=3U+4V and Y=U+W. Give a numerical answer for each part below. You may want to refer to the standard normal table .

What is the probability that X≥8?

P(X≥8)=

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E[XY]=

- unanswered

var(X+Y)

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