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3 years ago

How does it factor out as that

Mathematics

1 answer:

Rudiy273 years ago

5 0

2 numbers that multiplies to -24 and 2 numbers that adds to -2

-6x4 = -24
-6+4 = -2

and the d^2 just factors out (self explanatory)

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Answer:

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If we suppose that small aircraft arrive at the airport according to a Poisson process at the rate of 5.5 per hour and if X is the random variable that measures the number of arrivals in one hour, then the probability of k arrivals in one hour is given by:

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(b) What is the probability that at least 4 arrive during a 1-hour period?

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(c) If we define a working day as 12 hours, what is the probability that at least 75 small aircraft arrive during a working day?

If we redefine the time interval as 12 hours instead of one hour, then the rate changes from 5.5 per hour to 12*5.5 = 66 per working day, and the pdf is now

$\bf P(X=k)=\displaystyle\frac{(66)^ke^{-66}}{k!}$

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$\bf P(X$

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