For the last 300 years, extensive records have been kept on volcanic activity in Japan. In 2002, there were five eruptions or instances of major seismic activity. From historical records, the mean number of eruptions or instances of major seismic activity is 2.5 per year. A researcher is interested in modeling the number of eruptions or major seismic activities over the 6-year period of 2005-2010. (a) What probability model might be appropriate? Why? (b) What is the expected number of eruptions or instances of major seismic activity during 2005-2010? (c) What is the probability of exactly 10 eruptions or instances of major seismic activity during 2005-2010?
For the last 300 years, extensive records have been kept on volcanic activity in Japan. In 2002, there were five eruptions or instances of major seismic activity. From historical records, the mean number of eruptions or instances of major seismic activity is 2.5 per year. A researcher is interested in modeling the number of eruptions or major seismic activities over the 6-year period of 2005-2010. (a) What probability model might be appropriate? Why? (b) What is the expected number of eruptions or instances of major seismic activity during 2005-2010? (c) What is the probability of exactly 10 eruptions or instances of major seismic activity during 2005-2010?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:For the last 300 years, extensive records have been kept on volcanic activity in Japan. In
2002, there were five eruptions or instances of major seismic activity. From historical
records, the mean number of eruptions or instances of major seismic activity is 2.5 per
year. A researcher is interested in modeling the number of eruptions or major seismic
activities over the 6-year period of 2005-2010.
(a) What probability model might be appropriate? Why?
(b) What is the expected number of eruptions or instances of major seismic activity
during 2005-2010?
(c) What is the probability of exactly 10 eruptions or instances of major seismic
activity during 2005-2010?
(d) What is the probability of at least 12 eruptions or instances of major seismic
activity during 2005-2010?
(e) What is the probability of the number of eruptions or instances of major seismic
activity during 2005-2010 is between 5 and 20 (included)?
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