Question 59206:  i need your help in this  
a professor of statistics has two boxes of computer disks box c1 contains seven vebratim disks and 3 control data disks and box c2 contains 2 verbatim disks and 8 control data disks, she selects a box at random with probabilities p(c1)2/3 , and p(c2)=1/3 because their respective location, A disk is then selected at random and the event c occurs if it is from control data , using an equaly likely assumption for each disk in the selected box , compute p(c1|cc) abd p(c2|c) 
 Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website! a professor of statistics has two boxes of computer disks box c1 contains seven vebratim disks and 3 control data disks and box c2 contains 2 verbatim disks and 8 control data disks, she selects a box at random with probabilities p(c1)2/3 , and p(c2)=1/3 because their respective location, A disk is then selected at random and the event c occurs if it is from control data , using an equaly likely assumption for each disk in the selected box , compute p(c1|cc) abd p(c2|c) 
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Draw a contingency table with rows for c1 and c2 and columns for v's and c's 
Calculate the row and the column totoals. 
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P(c1|cc)  Did you mean P(c1|c)? 
If so P(c1|c)=[P(c1 and c)]/[P(c)}= [(3/20)]/[(11/20)]=3/11 
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P(c2|c)=[P(c2 and c)]/P(c) = [(8/20)]/[(11/20)]=8/11 
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Cheers, 
Stan H. 
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