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murzikaleks [220]
3 years ago
11

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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If we suppose that small aircraft arrive at the airport according to a <em>Poisson process</em> <em>at the rate of 5.5 per hour</em>  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:

\bf P(X=k)=\displaystyle\frac{(5.5)^ke^{-5.5}}{k!}

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\bf P(X=4)=\displaystyle\frac{(5.5)^4e^{-5.5}}{4!}=0.1558

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

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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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