Suppose x has a distribution with mean 10 and variance 4, y has a distribution with mean 20 and variance 9. you can find the mean of x + y with this information.

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20-03-2018
Mathematics

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Suppose x has a distribution with mean 10 and variance 4, y has a distribution with mean 20 and variance 9. you can find the mean of x + y with this information.

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LammettHash LammettHash · Answer 1 · 2018-03-21T23:02:05+01:00

LammettHash LammettHash

21-03-2018

If this is a true/false question, then the answer is true. If you're supposed to find the mean of [tex]X+Y[/tex], then we get

[tex]\mathbb E[X+Y]=\mathbb E[X]+\mathbb E[Y]=10+20=30[/tex]

since expectation is linear.

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