It Is Known That Between 8 and 10 A

question 88

Short Answer

It is known that between 8 and 10 a.m. on Saturdays, cars arrive at a toll station in Indiana at a rate of 60 per hour. Assume that a Poisson process is occurring, and that the random variable x represents the number of cars arriving at the station between 9:00 and 9:05 a.m.
What is the expected number of cars arriving at the toll station between 9:00 and 9:05 a.m.?
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What is the standard deviation of the number of cars arriving at the toll station between 9:00 and 9:05 a.m.?
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Find P(x = 0).
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Find P(x = 2).
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Find P(x = 5).
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Find P(x = 10).
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Definitions:

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Partially Performed

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Adequacy of Consideration

A legal principle assessing whether the value exchanged in a contract is reasonable and fair to both parties.

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An act of breaking the terms set out in a contract, which can lead to legal consequences and damages.