SOLUTION: A parking lot has two entrances. Cars arrive at entrance 1 according to a Poisson distribution at an average of three per hour and at entrance 2 according to a Poisson distribution

Question 328771: A parking lot has two entrances. Cars arrive at entrance 1 according to a Poisson distribution at an average of three per hour and at entrance 2 according to a Poisson distribution at an average of four per hour. What is the probability that a total of three cars at the parking lot in a given hour? (assume that the number of cars arriving at the two entrances are independent.)
Answer by jrfrunner(365) (Show Source): You can put this solution on YOUR website!
X=cars arriving within an hour at entrance 1 P(X=x)=
Y=cars arriving within an hour at entrance 2 P(Y=y)=
Z=X+Y total cars arriving within one hour at both entrances P(Z=z)=
P(Z=3)= = 0.052
RELATED QUESTIONS
Cars arrive at a toll both according to a Poisson process with mean 80 cars per hour. If... (answered by jrfrunner)

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

There are three routes from a person�s home to her place of work. There are four parking... (answered by ikleyn,Alan3354)

A Rectangular parking lot is shown on the site map below.The Entrance and exit points are (answered by Theo)

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

A car leaves the parking lot at 2:30 p.m. And travels at an average speed of 60 miles per (answered by richwmiller)

A grocery store counts the number of customers who arrive during an hour. The average... (answered by Boreal)

I need help with this word problem. Two cars are in the same parking lot. The first car... (answered by ankor@dixie-net.com)