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