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In: Statistics and Probability

Scores of students in a large Statistics class are normally distributed with a mean of 75...

Scores of students in a large Statistics class are normally distributed with a mean of 75 points and a standard deviation of 5 points.

  1. Find the probability that a student scores more than 80 points
  2. If 100 students are picked at random, how many do you expect to score below 70 points?
  3. If top 10% of students obtain an A grade, how much should a student obtain to get an A grade.
  4. Suppose four students are picked at random, find the probability that the average score of those four students is more than 80 points.

Please show all your work with explanation

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