There are dozens of personality tests available on the World Wide Web. One test, scored on a scale of 0 to 200, is designed to give an indication of how "personable" the test taker is, with higher scores indicating more "personability." Suppose that scores on this test have a mean of 103 and a standard deviation of 20. Complete the following statements about the distribution of scores on this personality test. (a) According to Chebyshev's theorem, at least 36% of the scores lie between x and x. (Round your answer to the nearest integer.)
(b) According to Chebyshev's theorem, at least 56% or 75% or 84% or 89% of the scores lie between 63 and 143 .
(c) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% or 75% or 95% or 99.7% of the scores lie between 63 and 143 .
(d) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the scores lie between x and x.