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

41

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 84% 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 19 years and 63years.

(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 19 years and 63years.

(d) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the home buyers' ages lie between

years

and

years

.