Cars enter a car wash at a mean rate of 2 cars per half an hour. what is the probability that, in any hour, exactly 5 cars will enter the car wash? round your answer to four decimal places.

  0.1563

Step-by-step explanation:

The Poisson distribution probability formula is given by :-

, where is the mean of the distribution and x is the number of success

Given : Cars enter a car wash at a mean rate of 2 cars per half an hour.

In an hour, the number of cars enters in car wash =

Now, the probability that, in any hour, exactly 5 cars will enter the car wash is given by :-

Therefore, the required probability = 0.1563

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.