John is a trucker and believes that for every 60 miles he drives on the freeway in Pennsylvania, there is an average of two state troopers checking his speed with a radar gun. What is the probability that at least one trooper is checking his speed on a randomly selected 60-mile stretch?
Answer)
We need to use Poisson formula here
P(x) = [(mean^x)*e^(-mean)]/x!
Here mean = 2
X = at least 1
We know that sum of all the probabilities is = 1
So, P(at least 1) = 1 - P(0) = 0.86466
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