The probability of a meerkat living smaller than 16.1 years exists at 99.85%.
The empirical rule notes that for a normal distribution most of the data lose within three standard deviations (σ) of the mean (µ). That exists 68% of the data lose within the first standard deviation (µ ± σ), 95% loses within the first two standard deviations (µ ± 2σ), and 99.7% declines within the first three standard deviations (µ ± 3σ).
68% declines within (10.4 ± 1.9). 68% declines within 8.5 years to 12.3 years.
95% declines within (10.4 ± 2[tex]*[/tex]1.9). 95% declines within 6.6 years to 14.2 years.
99.7% declines within (10.4 ± 3 [tex]*[/tex]1.9). 68% declines within 4.7 years to 16.1 years.
Probability of a meerkat living less than 16.1 years
= 100% - (100% - 99.7%)/2
= 100% - 0.15%
= 99.85%
Therefore, the probability of a meerkat living less than 16.1 years exists at 99.85%.
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