Scores for a common standardized college aptitude test are normally distributed with a mean of 483 and a standard deviat

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Scores for a common standardized college aptitude test arenormally distributed with a mean of 483 and a standard deviation of106. Randomly selected men are given a Test Prepartion Coursebefore taking this test. Assume, for sake of argument, that thetest has no effect.If 1 of the men is randomly selected, find the probability that hisscore is at least 553.8.P( xx > 553.8) = IncorrectEnter your answer as a number accurate to 4 decimal places. NOTE:Answers obtained using exact z-scoresor z-scores rounded to 3 decimal places areaccepted.If 14 of the men are randomly selected, find the probability thattheir mean score is at least 553.8.P( ¯xx¯ > 553.8) = IncorrectEnter your answer as a number accurate to 4 decimal places. NOTE:Answers obtained using exact z-scoresor z-scores rounded to 3 decimal places areaccepted.