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# worksheet14 - Stat 400 Final Review T.A. Emily King May 14,...

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Unformatted text preview: Stat 400 Final Review T.A. Emily King May 14, 2008 1. (Modified from p 57, #13) A computer consulting firm presently has bids out on three projects. Let A i = { awarded project i } , for i = 1 , 2 , 3, and suppose that P ( A 1 ) = . 22, P ( A 2 ) = . 25, P ( A 3 ) = . 28, P ( A 1 ∩ A 2 ) = . 11, P ( A 1 ∩ A 3 ) = . 05, P ( A 2 ∩ A 3 ) = . 07 and P ( A 1 ∩ A 2 ∩ A 3 ) = . 01. Draw the corresponding Venn diagrams and compute the probability of each event: (a) A 1 ∪ A 2 (b) A 1 ∩ A 2 (c) A 1 ∪ A 2 ∪ A 3 (d) A 1 ∩ A 2 ∩ A 3 (e) A 1 ∩ A 2 ∩ A 3 Also compute P ( A 1 | A 2 ) and P ( A 2 | A 1 ). 2. A traveling T.A. visits 10 STAT 400 students a day, selling final exam reviews, at a profit of \$25 a review sheet. Each student acts independent of the others and purchases a review with a probabiliy of p = . 90. What is the probability that the T.A. makes over \$90 on a given day? 3. (Modified from book p 83 # 104) A company uses three different assembly lines - A 1 , A 2 , A 3 – to manufacture a particular component. Of those manufactured by line A 1 , 5% need rework to remedy a defect, wheras 8% of A 2 ’s components need rework and 10% of A 3 ’s need rework. Suppose that 50% of all components are produced by line...
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## This note was uploaded on 05/29/2008 for the course STAT 400 taught by Professor All during the Spring '08 term at Maryland.

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worksheet14 - Stat 400 Final Review T.A. Emily King May 14,...

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