# Chebyshev's inequality

1. According to Chebyshev's theorem, at least ________, of the lifetimes lie between 609.5 hrs and 1074.5 hrs.

a. 56% b. 75% c. 84% d. 89%

2. According to Chebyshev's theorem, at least ________, of the lifetimes lie between 656 hrs and 1028 hrs.

a. 56% b. 75% c. 84% d. 89%

3. Suppose that the distribution is bell shaped. According to the empirical rule approximately _________ of the lifetimes lie between 656 hrs. and 1028 hrs.?

a. 68% b. 75% c. 95% d. 99.7%

4. Suppose that the distribution is bell shaped. According to the empirical rule

approximately 99.7% of the life times lie between ______ hours and _______ hours?

See attached file for full problem description.

#### Solution Summary

The solution gives the details of calculation of probability based on Chebyshev's inequality. Probability based on empirical rule is also discussed.