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**Unformatted text preview: **However, each time the server crashes, Initech looses $20,000. Therefore, Initech ’s weekly profit from the website (in thousands of $) is Y = 50 – 20 ⋅ X. Find Initech ’s average weekly profit from the website and its standard deviation. E ( X ) = ∑ ⋅ x x f x all ) ( = 0.70 . [ ] [ ] 2 all 2 2 2 X E ) ( X E X E X Var ) ( ) ( ) ( ) (-=-= ∑ ⋅ x x f x = 1.30 -( 0.70 ) 2 = 0.81 . SD ( X ) = 81 . = 0.90 . E ( Y ) = 50 – 20 ⋅ E ( X ) = 50 – 20 ⋅ 0.70 = 36 . $36,000 . SD ( Y ) = | – 20 | ⋅ SD ( X ) = 20 ⋅ 0.90 = 18 . $18,000 ....

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