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In: Statistics and Probability

Determine the following for a standard normal distribution: A. What percent of the area under the...

Determine the following for a standard normal distribution:
A. What percent of the area under the curve is within 1 standard deviation of the mean?
That is, find P(-1 less than or equal to Z less than or equal to1)
B. What percent of the area are under the curve is within 2 standard deviations of the mean?
That is, find P(-2 less than or equal to Z less than or equal to 2).
C. What percent of the area under the curve is within 3 standard deviations of the mean?
That is, find P(-3 less than or equal to Z less than or equal to 3).
D. Explain how the values from (a)-(c) are related to the Empirical Rule.

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