The number of cars that pass through a busy intersection has a poisson distribution with rate λ=200λ=200cars per hour. what is the probability that no cars pass in a one minute time interval?

0.03567

Step-by-step explanation:

The probability mass function for Poisson distribution:-

, where = mean of the distribution.

Given : The number of cars that pass through a busy intersection has a Poisson distribution with rate λ=200 cars per hour.

Since 1 hour = 60 minutes.

then , The number of cars that pass through a busy intersection in minute =

Let x be the number of cars pass in one minute.

Then, the probability that no cars pass in a one minute time interval will be :

Hence, the probability that no cars pass in a one minute time interval is about 0.03567.

c

step-by-step explanation: