9. Incorrect. The answer is false, not true. Let X be a random variable which represents the number of cars that arrives to the gas station in 12 minutes. X follows a Poisson distribution whose average value is: 24*(12/60) = 4.8. In this particular case, the distribution function is:

 

P[X = x| λ = 4.8] = (4.8)xe-4.8/ x!

 

P[X = 5 | λ = 4.8] = (4.8)5e-4.8/ (5!) = 0.1747

 

There is a probability of 17.47% that exactly 5 cars arrive to the gas station in 12 minutes.