SOLUTION: Cars arrive at a toll both according to a Poisson process with mean 80 cars per hour. If the attendant makes a one-minute phone call, what is the probability that at least 1 car ar
Algebra ->
Probability-and-statistics
-> SOLUTION: Cars arrive at a toll both according to a Poisson process with mean 80 cars per hour. If the attendant makes a one-minute phone call, what is the probability that at least 1 car ar
Log On
Question 328768: Cars arrive at a toll both according to a Poisson process with mean 80 cars per hour. If the attendant makes a one-minute phone call, what is the probability that at least 1 car arrives during the call? Answer by jrfrunner(365) (Show Source):
You can put this solution on YOUR website! X=number of car passing in an interval of time
X~Poisson (mean=80/hour) or Poisson (mean 80/60min=4/3min)
where x>=0)
P(at least one car)= 1- P(no cars passing in the interval of interest)
P(X>=1)= 1-P(X=0) = = 1-0.264=0.736