SOLUTION: In an attempt to determine the number of $20 bills in active circulation a bank marked 300 bills with an invisible ink. The bills were then released to the public. In a sample of

Algebra ->  Probability-and-statistics -> SOLUTION: In an attempt to determine the number of $20 bills in active circulation a bank marked 300 bills with an invisible ink. The bills were then released to the public. In a sample of      Log On


   



Question 1080159: In an attempt to determine the number of $20 bills in active circulation a bank marked 300 bills with an invisible ink. The bills were then released to the public. In a sample of 1000 bills taken six weeks later, 34 had the invisible mark. Estimate the number of $20 bills in circulation in this area.
HINT: Use the expected value formula.

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
not exactly sure if this is correct, but .....

300 bills were marked.

out of a sample of 1000, 34 were marked.

the ratio of marked bills to sample bills is 34/1000 = .034

if that same ratio applies to the population, and you let x represent the population, then you get:

.034 * x = 300

this says that 300 bills represents .034 of the population.

solve for x to get x = 300 / .034 = 8823.529412.