According to insurance records, a car with a certain protection system will be recovered 92% of the time. If 800stolen cars are randomly selected, what is the mean and standard deviation of the number of cars recoveredafter being stolen?
A) mean: 736; standard deviation: 7.67333044
B) mean: 736; standard deviation: 58.88
C) mean: -5664: standard deviation: 7.67333044
D) mean: -5664: standard deviation: 58.88

Question

Quizplus · Accepted Answer

The mean of the number of cars recovered is found by multiplying the total number of stolen cars by the probability of recovery: 800 * 0.92 = 736. The standard deviation is calculated using the formula for the standard deviation of a binomial distribution, which is sqrt(n*p*(1-p)), where n is the number of trials, p is the probability of success on each trial. Thus, the standard deviation is sqrt(800*0.92*0.08) = 7.67333044.

According to Insurance Records, a Car with a Certain Protection