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Use the Poisson Distribution: 1. Based on data from the U.S. National Center for

ID: 2981652 • Letter: U

Question

Use the Poisson Distribution:


1. Based on data from the U.S. National Center for Health Statistics, 11 babies are born in the village of Westport each year.


a. Find the mean number of births per day.


b. Find the probability that on a given day, there are no births.


c. Find the probability that on a given day, there is at least one birth.







2. Dandelions are studied for their effects on crop production and lawn growth. In one region, the average number of dandelions per square meter was found to be 7 (based on data from Manitob Agriculture and Food)


a. Find the probability of at most 2 dandelions in an area of 1 square meter.








3. According to the World Almanac, for a recent period of 100 years, there were 93 major earthquakes (at least 6.0 on the Richter scale)


a. Find the probability that the number of earthquakes in a randomly selected year is 4.

Explanation / Answer

1. a) 11

b) 1/11

c) 1 - 1/11 = 10/11

2. a) 2/7

c) 93/100/4

= 0.02325