A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of 20 to 80. In a recent year, the national mean score for the writing section was 47.2 , with a standard deviation of 10.2. Based on this information, complete the following statements about the distribution of the scores on the writing section for the recent year.

a. according to chebyshev's theorem, at least 36% lie between _ and _.(round to one decimal place)

b. according to chebyshev's theorem, at least _ lie between 26.8 and 67.6.

c. suppose that the distribution is bell shaped. according to the empirical rule, approximately _ of the scores lie between 26.8 and 67.6.

d. suppose that the distribution is bell shaped, according to the empirical rule, approximately 68% of the scores lie between _ and _?