Scores for a common standardized college aptitude test are normally distributed with a mean of 485 and a standard deviation of 101. Randomly selected men are given a Test Prepartion Course before taking this test. Assume, for sake of argument, that the test has no effect. 1) If 1 of the men is randomly selected, find the probability that his score is at least 510.3.  Enter your answer as a number accurate to 4 decimal places.  2) If 36 of the men are randomly selected, find the probability that their mean score is at least 510.3.  Enter your answer as a number accurate to 4 decimal places.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Scores for a common standardized college aptitude test are normally distributed with a mean of 485 and a standard deviation of 101. Randomly selected men are given a Test Prepartion Course before taking this test. Assume, for sake of argument, that the test has no effect.

1) If 1 of the men is randomly selected, find the probability that his score is at least 510.3.
 Enter your answer as a number accurate to 4 decimal places. 

2) If 36 of the men are randomly selected, find the probability that their mean score is at least 510.3.
 Enter your answer as a number accurate to 4 decimal places. 

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