A real estate company is interested in the ages of home buyers. They examined the ages of thousands of home buyers and found that the mean age was  43  years old, with a standard deviation of  11  years. Suppose that these measures are valid for the population of all home buyers. Complete the following statements about the distribution of all ages of home buyers.   (a) According to Chebyshev's theorem, at least 36% of the home buyers' ages lie between  years  and  years . (Round your answer to the nearest integer.) (b) According to Chebyshev's theorem, at least ?56%75%84%89% of the home buyers' ages lie between 21 years and 65 years. (c) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately ?68%75%95%99.7% of the home buyers' ages lie between 21 years and 65 years. (d) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 99.7% of the home buyers' ages lie between  years  and  years .

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A real estate company is interested in the ages of home buyers. They examined the ages of thousands of home buyers and found that the mean age was 
43
 years old, with a standard deviation of 
11
 years. Suppose that these measures are valid for the population of all home buyers. Complete the following statements about the distribution of all ages of home buyers.

 

(a) According to Chebyshev's theorem, at least 36% of the home buyers' ages lie between 
years
 and 
years
. (Round your answer to the nearest integer.)
(b) According to Chebyshev's theorem, at least ?56%75%84%89% of the home buyers' ages lie between 21 years and 65 years.
(c) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately ?68%75%95%99.7% of the home buyers' ages lie between 21 years and 65 years.
(d) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 99.7% of the home buyers' ages lie between 
years
 and 
years
.
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