Question 1113627
The requirement for the Poisson Probability(P) formula is that we know the mean of observed occurrences
:
P(X, mean) = (e^-mean) * (mean^X) / X!
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for this problem, we know the mean is 15,000 per hour
:
a)  P(10000, 15000) = (e^-15000) * (15000^10000) / 10000! = 0
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b)  15000/60 = 250
P(100, 250) = (e^-250) * (250^100) / 100! = 0
:
c)  15000/3600 = approximately 4.2
P(0, 4.2) = (e^-4.2) * (4.2^0) / 0! = 0.015
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