According to police sources, a car with a certain protection system will be recovered 92 % 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? Round the answers to the nearest hundredth.

552; 6.6452 (approx)

Explanation:

Given that,

Car recovered, p = 92% of the time

Number of cars stolen, n = 600 (randomly selected)

Probability of not recovering: (1 - p) = 1 - 0.92

                                                          = 0.08

Mean = Number of observations × Probability of recovering

         = 600 × 0.92

         = 552

Standard deviation:

= 6.64529909

Therefore, the mean and standard deviation of the number of cars recovered after being stolen is 552 and 6.6452(approx), respectively.