According to insurance records a car with a certain protection system will be recovered 89 percent of the time. If 300 stolen cars are randomly selected, what is the mean and standard deviation of the number of cars recovered after being stolen

The mean number of cars recovered after being stolen is 267 and the standard deviation is 5.42.

Step-by-step explanation:

For each stolen car, there are only two possible outcomes. Either it is recovered, or it is not. The probability of a stolen car being recovered is independent of other stolen cars. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

The standard deviation of the binomial distribution is:

In this problem, we have that:

So

The mean number of cars recovered after being stolen is 267 and the standard deviation is 5.42.

i am unable to solve this problem

step-by-step explanation:

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743