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 98 and a standard deviation of 16. Complete the following statements about the distribution of scores on this personality test.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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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 98 and a standard deviation of 16. Complete the following statements about the distribution of scores on this
personality test.
(a) According to Chebyshev's theorem, at least ?
the scores lie
between 66 and 130.
(b) According to Chebyshev's theorem, at least 56% of the scores lie between
O and O. (Round your answer to the nearest natural number.)
Transcribed Image Text: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 98 and a standard deviation of 16. Complete the following statements about the distribution of scores on this personality test. (a) According to Chebyshev's theorem, at least ? the scores lie between 66 and 130. (b) According to Chebyshev's theorem, at least 56% of the scores lie between O and O. (Round your answer to the nearest natural number.)
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