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Joe V. Lentement opens his mail one day to find his College Entrance Examination Board scores. On looking, he finds his score reported to be

Joe V. Lentement opens his mail one day to find his College Entrance Examination Board scores. On looking, he finds his score reported to be 345 (this test is assumed normally distributed with a mean of 570 and a standard deviation of 85). He calls his friend Ace Student to tell him of the news and asks him, "Did I do OK?" Ace replies politely, "Well, to be honest, not terrific. But you did better than some." What percent of students taking this test scored the same or lower than Joe? Joe asked Ace, "What did you get?" Ace replied, "I forget the exact score, but I was in the top 0.5% of the test taking group." What did Ace score on the CEEB. Joe calls another classmate, Mary N. Crowd, and asks how she scored. "Well, like, me and my friends, we all scored between 460 and 480 you know? And, like, we're really happy to have done so well, you know?" What percent of the test takers scored within this range

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