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John Parks Cars at a Hotel

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John parks cars at a hotel. On the average, 6.7 cars will arrive in an hour. Assume that a driver's decision on whether to let John park the car does not depend upon any other person's decision. Define the random variable x to be the number of cars arriving in any hour period.
a.What is the appropriate probability distribution for x? Explain how x satisfies the properties of the distribution.
b.Compute the probability that exactly 5 cars will arrive in the next hour.
c.Compute the probability that no more than 5 cars will arrive in the next hour.

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a.Poisson
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