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Probability Theory
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Why?
Central limit theorem
What is the earliest version of the central limit theorem?
The normal distribution may be used as an approximation to the Poisson distribution
The normal distribution may be used as an approximation to the exponential distribution
The normal distribution may be used as an approximation to the binomial distribution
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Why?
Central limit theorem
What is the significance of the central limit theorem?
It implies that normal distributions are the only distributions that can be used in probability theory
It implies that probabilistic and statistical methods can only be used for normal distributions
It implies that probabilistic and statistical methods can be used for many problems involving other types of distributions
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Why?
Central limit theorem
What does the central limit theorem establish?
The standard deviation of a sample tends towards the standard normal distribution
The sample mean tends towards the standard normal distribution
The sample median tends towards the standard normal distribution
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