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Cars coming along Magnolia Street come to a fork in the road and hav.pdf
The document describes a traffic scenario at a fork in the road on Magnolia Street where cars must choose between Willow Street and Main Street. The number of cars arriving at the fork follows a Poisson distribution with a rate of ? = 4, where the probability of choosing Main Street is 3/4 and Willow Street is 1/4. It introduces a random variable, x, representing the count of cars passing by in a given time, expressed through a specific probability formula.
Cars coming along Magnolia Street come to a fork in the road and hav.pdf
- 1. Cars coming alongMagnolia 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!