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We Are Interested in Knowing If the Following Frequency Distribution

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We are interested in knowing if the following frequency distribution is normally distributed. The population mean and standard deviation of the data are 600 and 160, respectively. We are interested in knowing if the following frequency distribution is normally distributed. The population mean and standard deviation of the data are 600 and 160, respectively.   If the distribution was normally distributed, what is the probability that an observation would be a member of the  800 up to 1000  class? If the distribution was normally distributed, what is the probability that an observation would be a member of the "800 up to 1000" class?

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