There Are Two Gas Stations at a Busy Intersection

Short Answer

There are two gas stations at a busy intersection. The Kwick Pump and the Gas Hog. Customers arrive at the Kwick pump according to a Poisson process with rate 2 per minute and customers arrive to the Gas Hog according to a Poisson process with rate 3 per minute. Let N be the number of customers arriving to the Gass Hog during the time that 4 customers arrive to the Kwick Pump. Find the expected value of N.