The Poisson Distribution Is a Discrete Distribution That Expresses the Probability

question 109

Multiple Choice

The Poisson distribution is a discrete distribution that expresses the probability of a fixed number of events occurring in a fixed interval.For example,suppose we want to model the number of arrivals per minute at the campus dining hall during lunch.We observe the actual arrivals in 200 one-minute periods in 1 week.The sample mean is 3.8 and the results are shown below. The probabilities based on a Poisson distribution with a mean of 3.8 are shown below. Perform a formal test to determine if the observed counts are compatible with the Poisson distribution with a mean of 3.8 and a significance level of .05.

• A)The P-value is very small;therefore the observed counts are compatible with the Poisson distribution.
• B)The P-value is large;therefore the observed counts are compatible with the Poisson distribution.
• C)The P-value is very small;therefore the observed counts are not compatible with the Poisson distribution.
• D)The P-value is large;therefore the observed counts are not compatible with the Poisson distribution.

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