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Unformatted text preview: the message is 2, For example, is thereFore 12 / 30. Overall, we have # people 2 3 4 prob. 12 / 30 12 / 30 6 / 30 and so the expected number oF people to handle the message is (2)(12 / 30) + (3)(12 / 30) + (4)(6 / 30) = 84 / 30 = 2 . 8 . 25. The expected value oF a uniForm random variable on [ a, b ] is right in the center at ( a + b ) / 2. or a uniForm random variable on [ LA, L + A ], the center is at L . ThereFore E [ X ] = L and E [ Y ] = L . E [area] = E [ XY ] indep = E [ X ] E [ Y ] = L L = L 2 ....
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