Question 1130511: Airplanes leave a busy airport at a rate of 12 per minute.
a. What is the average number of departures over a 30-second period?
b. What is the probability that one plane depart during a particular 30-second period?
c. What is the probability that at least four planes depart during a certain 30-second period?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! a. That is half a minute, so it would be 6 departures
b. Using a Poisson distribution, this would have parameter 6. e^(-6)*6^1/1!, probability 0.0149.
c. Find probability 0,1,2,3 planes depart and subtract from 1. The cumulative probability is 0.151 up to 3, so the probability of at least 4 would be 0.849.
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