Reference no: EM13640369
A sociologist studying the justice system has just written a paper detailing her findings after she examined the records of thousands of inmates. Among other things, she looked at the prison terms actually served by inmates who had been sentenced to five to ten years for a felony conviction. She found that the mean term actually served by those inmates was 46 months, with a standard deviation of 10 months. Suppose that these measures are valid for the population of all inmates who have been sentenced to five to ten years for a felony conviction. Complete the following statements about the distribution of all prison terms actually served by inmates sentenced to five to ten years for a felony conviction.
A) According to Chebyshev's theorem, at least (56, 75, 84 or 89)% of the prison terms actually served lie between 26 months and 66 months.
B) According to Chebyshev's theorem, at least 84% of the prison terms actually served lie between ___ months and ___months.
C) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the prison terms actually served lie between ___months and ___months.
D) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately (68, 75, 95, or 99.7)% of the prison terms actually served lie between 26 months and 66 months.