SOLUTION: In a small town, the probability that a car is stolen is 0.19; the probability that a car is stolen and recovered by the local police department is 0.05. What is the probability th

Algebra ->  Probability-and-statistics -> SOLUTION: In a small town, the probability that a car is stolen is 0.19; the probability that a car is stolen and recovered by the local police department is 0.05. What is the probability th      Log On


   

Question 1098447: In a small town, the probability that a car is stolen is 0.19; the probability that a car is stolen and recovered by the local police department is 0.05. What is the probability that the car is recovered by the local police department given that it was stolen.

0.26

.0095

.03

.25
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
A = event car is stolen
B = event car is recovered by police
—
P(A) = 0.19
P(A and B) = 0.05
P(B|A) = P(A and B) / P(B) = 0.05 / 0.19 = 0.26316