According to insurance records a car with a certain protection system will be recovered 8787% of the time. find the probability that exactly 55 of 1010 stolen cars will be recovered. round to the nearest thousandth.

Let X be the number of cars recovered from stolen cars. Let n be the total number of stolen cars and p be the probability that car will be recovered.

Given: n=10, x=5

It is given that a car with a certain protection system will be recovered 87% of the time. It means probability of recovering a car is p=0.87

Probability that 5 out of 10 stolen cars will be recovered is

P(X=x ) =

P(X=5) =

P(X=5) = 0.0047

The probability that exactly 5 out of 10 stolen cars will be recovered is 0.0047

ruth is 6 years old

step-by-step explanation:

6 + 24 = 30,   so 6/30 = .2  

if you do 1/5 it also equals .2, so that is the answer.