19.X.2.1 - Mean and Variance
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Practice Questions
Test your understanding with targeted questions
What is the mean and variance of a Poisson distribution?
💡 Hint: Think about the properties of the Poisson distribution.
Define the term λ in the context of the Poisson distribution.
💡 Hint: It is the same for mean and variance.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the mean of a Poisson distribution?
💡 Hint: Recall the basic properties of the distribution.
True or False: The variance of a Poisson distribution is different from its mean.
💡 Hint: Consider which values are equal in this context.
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Challenge Problems
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A wildlife researcher measures an average of 3 bear sightings per day in a forest. What are the mean and variance of this daily event? How could this information aid in understanding bear behavior?
💡 Hint: Consider how consistent averages can impact planning and management.
In a manufacturing context, if a factory produces an average of 8 defects per job, and you need to analyze what the variance would tell you for quality control, how would you approach this?
💡 Hint: Explore the implications of variability in product quality management.
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