Friday

March 6, 2015

March 6, 2015

Posted by **sc** on Thursday, May 3, 2012 at 8:43pm.

- Statistics -
**David Q/R**, Saturday, May 5, 2012 at 3:21pmUse the binomial theorem. The probability that out of 7 stolen cars, the first three will be recovered is 0.89^3 x (1-0.89)^4 (because you also have to calculate the probability that the last four will NOT be recovered). That is 0.000103. But it's not just the first three that could have been recovered: you also have to work out in how many ways those three recovered ones could have been distributed among the seven, and multiply your answer by that. The number of ways it could have happened is (7!) / (3!)(4!)), where N! means N x (N-1) n (N-2) x ... 2 x 1. So the number of ways it could have happened is (7x6x5x4x3x2x1)/((4x3x2x1)x(3x2x1)), which is (7x6x5)/(3x2x1) = 35. Multiply that by the probability you worked out earlier, and you'll get 0.003613 - and that's your answer.

**Answer this Question**

**Related Questions**

Statistics - According to insurance records a car with a certain protection ...

statistics - In a major city 7 % of cars have an alarm system installed. A car ...

math - Figures obtained from a city's police department seem to indicate that of...

Economics - 3. Peter owns just his car and has £2,500 in cash. The car is worth...

Math Problem Solving - You have a $9000 motorcycle and a $850 bicycle. The ...

math - automoniles arrive at the drive-through windom at a post office at the ...

math-probability - uppose that cars arrive at a traffic light according to a ...

Statistics - A car rental agency currently has 41 cars available, 28 of which ...

Statistics - using bayes theorem, what would be the probability of a honda civic...

Statistics - The probability of a randomly selected car crashing during a year ...