Question: In the context of economics, what is the primary characteristic of events that makes them suitable for modeling with a Poisson distribution?
A) Events are dependent on each other
B) Events occur at a constant average rate
C) Events have a fixed total number
D) Events are evenly spaced in time
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Answer: B) Events occur at a constant average rate
Question: Which of the following scenarios in economics can be modeled using a Poisson distribution?
A) The daily stock market index values
B) The number of customer arrivals at a bank per hour
C) The yearly GDP growth rate
D) The price changes of a commodity over a year
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Answer: B) The number of customer arrivals at a bank per hour
Question: Which scenario would be best modeled using a Poisson distribution?
A) The lifespan of a light bulb
B) The number of system failures in a network per month
C) The stress-strain relationship of a material
D) The frequency response of an electronic circuit
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Answer: B) The number of system failures in a network per month
Question: In the context of Poisson distribution, which statement is true about the relationship between the mean (?) and the variance?
A) The mean is always greater than the variance
B) The variance is always twice the mean
C) The mean and variance are equal
D) The mean is always less than the variance
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Answer: C) The mean and variance are equal
Question: Which biological phenomenon can be modeled using a Poisson distribution?
A) The growth rate of a bacterial culture
B) The distribution of rare genetic mutations in a population
C) The daily water intake of an animal
D) The heartbeat intervals of a resting human
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Answer: B) The distribution of rare genetic mutations in a population
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