By Chebyshev’s inequality, what fraction of observations lie within 3 standard deviations of the mean?

By Chebyshev’s inequality, what fraction of observations lie within 3 standard deviations of the mean?

A At least 8/9 (≈ 88.89%)

B At least 2/3 (≈ 66.67%)

C At most 8/9 (≈ 88.89%)

D At least 1 − 1/3 (≈ 66.67%)

Solution

Correct Answer: Option A