A real estate company is interested in the ages of home buyers. They examined the ages of thousands of home buyers and found that themeanage was 50years old, with astandard deviationof 9years. Suppose that these measures are valid for thepopulationof all home buyers. Complete the following statements about thedistributionof all ages of home buyers.

(a) According to Chebyshev's theorem, at least

?56%75%84%89%

of the home buyers' ages lie between 32 years and68. (b) According to Chebyshev's theorem, at least

?56%75%84%89%

of the home buyers' ages lie between 36.5 years and63.5. (c) Suppose that the distribution isbell-shaped. According to the empirical rule, approximately

?68%75%95%99.7%

of the home buyers' ages lie between 32 years and68. (d) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 99.7% of the home buyers' ages lie betweenyearsandyears.