Answer: 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.