http://web2.0calc.com/questions/1-nbsp-two-numbers-x-and-y-are-randomly-chosen-from-the-interval-0-1-what-is-the-expected-value-of-x-y

Mellie
Apr 19, 2015

#1**+10 **

Go to http://web2.0calc.com/questions/1-nbsp-two-numbers-x-and-y-are-randomly-chosen-from-the-interval-0-1-what-is-the-expected-value-of-x-y to see the answer to part 1.

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Alan
Apr 19, 2015

#1**+10 **

Best Answer

Go to http://web2.0calc.com/questions/1-nbsp-two-numbers-x-and-y-are-randomly-chosen-from-the-interval-0-1-what-is-the-expected-value-of-x-y to see the answer to part 1.

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Alan
Apr 19, 2015

#2**+8 **

Oh right, this is only for the first. Thanks Alan:

Since we can add expected values of independent events, the expected value of the sum is the sum of the expected values of each.

Since we are just as likely to pick x as 1-x, the expected value of x (and likewise y) is equal to 1/2.

Therefore the expected value of the sum is 1/2+1/2=1.

Mellie
Apr 19, 2015

#3**0 **

hi, I was the one that posted this. May you answer the other questions that came along with it please?

Guest Apr 19, 2015