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Course: AP®︎/College Statistics > Unit 4

Lesson 4: Normal distributions and the empirical rule
Math
AP®︎/College Statistics
Exploring one-variable quantitative data: Percentiles, z-scores, and the normal distribution
Normal distributions and the empirical rule
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Empirical rule

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Problem

The lifespans of gorillas in a particular zoo are normally distributed. The average gorilla lives 20.8 years; the standard deviation is 3.1 years.
Use the empirical rule (68−95−99.7%) to estimate the probability of a gorilla living less than 23.9 years.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
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