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

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
RELATED QUESTIONS
A parking lot has two entrances. Cars arrive at entrance 1 according to a Poisson... (answered by jrfrunner)

Cars arrive at a CNG station at an average rate of 30 per hour. Assuming that the number... (answered by Boreal)

Suppose the number of cars that arrive at a car wash during one hour is described by a... (answered by proyaop)

Cars entering a highway section have an increasing speed during a certain time interval... (answered by asinus)

Automobiles arrive at the Elkhart exit of the Indiana Toll Road at the rate of two per... (answered by Fombitz)

Traffic flow is traditionally modelled as a Poisson distribution. A traffic engineer... (answered by solver91311)

The table shows a simulation to predict how many cars will arrive at a car wash. Each... (answered by Fombitz)

Calls arrive at a petrol station at the rate of 7 cars per minute. What is the... (answered by oscargut)