Answer:
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:
[tex]= \sqrt{n\times p\times (1-p)}[/tex]
[tex]= \sqrt{600\times 0.92\times 0.08}[/tex]
[tex]=\sqrt{44.16}[/tex]
= 6.64529909
Therefore, the mean and standard deviation of the number of cars recovered after being stolen is 552 and 6.6452(approx), respectively.