Cars enter a car wash according to a poisson process at a mean rate of 2 cars per half an hour. what is the probability that, in an hour, at least 4 cars will enter the car wash?

Respuesta :

The probability that, in an hour, at least 4 cars will enter the car wash is 0.94.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

Cars enter a car wash according to a Poisson process at a mean rate of 2 cars per half an hour.

Here the value of λ is:

λ = 2 cars/half an hour

λ = 4 cars/hour

The probability that, in an hour, at least 4 cars will enter the car wash:

P(x = 4) = 4⁴e⁻⁴/5

After solving:

P(x = 5) = 0.937 ≈ 0.94

Thus, the probability that, in an hour, at least 4 cars will enter the car wash is 0.94.

Learn more about the probability here:

brainly.com/question/11234923

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