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Cars coming along Magnolia Street come to a fork in the road and have to choose either Willow
Street or Main Street to continue. Assume that the number of cars that arrive at the fork in unit
time has a Poisson distribution with parameter ? = 4. A car arriving at the fork chooses Main
Street with probability 3/4 and Willow Street with probability 1/4. Let X be the random variable
which counts the number of cars that, in a given unit of time, pass by Joe
Solution
P(x= k)= 3/4 * e(-4) * 4^k/k!

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