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Suppose I have a bag with 12 slips of paper in it. Some of the slips have a 2 on them, and the rest have a 7 on them. If the expected value of the number shown on a slip randomly drawn from the bag is , then how many slips have a 2?

 Jul 23, 2016
 #1
avatar+36916 
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"If the expected value of the number shown on a slip randomly drawn from the bag is_____ , then.."

 

 

Ya left off the most important part of the question.......shucks.

 Jul 23, 2016
 #2
avatar+118609 
+1

Suppose I have a bag with 12 slips of paper in it. Some of the slips have a 2 on them, and the rest have a 7 on them. If the expected value of the number shown on a slip randomly drawn from the bag is X , then how many slips have a 2?

Let A be the number of slips with an A  :)

 

ElectricPavlov is right of course :)

 

\(\frac{2A+7(12-A)}{12}=X\\ \frac{2A+84-7A}{12}=X\\ \frac{84-5A}{12}=X\\ 84-5A=12X\\ A=\frac{12X-84}{-5}\\ A=\frac{84-12X}{5}\\\)

 Jul 24, 2016

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