SOLUTION: A surveyor wishes to lay out a square region with each side having length 10 Units. However, because of a measurement error, he instead lays out a rectangle in which the north -

Question 1178033: A surveyor wishes to lay out a square region with each side having length 10 Units. However, because of a measurement error, he instead lays out a rectangle in which the north - south sides both have length X and the east - west sides both have length Y. Suppose that X and Y are independent and that each is uniformly distributed on the interval [8, 12]. What is the expected area of the resulting rectangle?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The prob'y density function of (or ) is , being distributed uniformly.
==> . Similarly, , Y being identical distributionally to X.
==> , since X and Y are independent random variables.
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