According to police sources a car with a certain protection system will be recovered 90% of the time. if 600 stolen cars are randomly selected, what is the mean and standard deviation of the number of cars recovered after being stolen?

The solution to the problem is as follows:

Given: n = 600; p = 0.90; 

mean = np = 600*0.90 = 540 

sd of proportions = √(npq/n) = √(600*0.90*0.10) = 7.35

Mean: 540; standard deviation: 7.35

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