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.
What is the value of the first contribution to the chi-square statistic for the goodness-of-fit test to the Poisson distribution using the expected count for 0 arrivals?
A) 9
B) 10
C) 200
D) None of the above
Correct Answer:
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