According to insurance records, a car with a certain protection system will be recovered 95% of the time. if 800 stolen cars are randomly selected, what is the mean and standard deviation of the number of cars recovered after being stolen?

Mean = 760

Standard deviation = 6.16

Step-by-step explanation:

Given : The number of trials:

The probability that  a certain protection system will be recovered :

We know that the mean and standard deviation of binomial distribution is given by :_

, where n is the number of trials and p is the probability of success.

Now, the mean and standard deviation of the number of cars recovered after being stolen is given by :-

Hence, the mean is 760 and standard deviation is 6.16 .

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