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An aptitude test is designed to measure leadership abilities of the test subjects. Suppose that the scores on the test are normally distributed with

An aptitude test is designed to measure leadership abilities of the test subjects. Suppose that the scores on the test are normally distributed with a mean of 560 and a standard deviation of 120. The individuals who exceed 780 on this test are considered to be potential leaders. What proportion of the population are considered to be potential leaders? Round your answer to at least four decimal places.

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