For a normal distribution with mean μ = 81.2 feet and standard deviation σ = 12.4 feet, find the percent of observations between 68.8 feet and 106 feet. write your answer as a decimal and do not include any units.

Question

Mathematics

Valentina

20 February, 12:56

For a normal distribution with mean μ = 81.2 feet and standard deviation σ = 12.4 feet, find the percent of observations between 68.8 feet and 106 feet. write your answer as a decimal and do not include any units.

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Maximilian Dean · Answer 1

With mean 81.2 and standard deviation 12.4, the range 68.8 to 106 is is equal to one standard deviation below the mean (34.1%) and two standard deviations above the mean (47.7%). Together, 81.8% of observations will land in this range.