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.
1 answer:
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
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