You are the district attorney. You face 10 court cases a year and have a $100,000 budget. In any given court case, the probability of winning is equal to X/2000, where X is the amount of the budget spent on the case. If a defendant is found guilty they must pay a fine of $2000.
a. What is the expected amount of fines the DA will collect if plea bargains are not allowed and the DA’s budget is distributed evenly among cases?
Thanks. I don't know whether I did something wrong here, but I divided 100,000/10 and I got 10,000. I then did the equation 10,000/2,000 and I got 5 for the probability, which I know is wrong because Probability isn't suppose to be greater than 1. Did I do it right? How would you approach this problem?
2007-09-16 13:05:57 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
What you did is right but the question is worded wrongly. May be they meant X/2000 if x < 2000 and thus if x = 2000, the probability is 1.
With a budget of 100,000 dollars and 10 convictions, the fines collected will be 20,000 dollars. So, the state is losing 80,000 dollars an year.
2007-09-16 13:12:50 · answer #1 · answered by Swamy 7 · 1⤊ 0⤋
Are you sure you got the problem correctly? I agree with you, probability can't be 5.
2007-09-16 20:10:34 · answer #2 · answered by hayharbr 7 · 1⤊ 0⤋