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The scores for the final exam in a particular class are approximately normally distributed with a mean of 78.4 points and a standard deviation of 5.7 points.
a. What score would a student need to score in the top 20% of student scores? Round to two decimal places.
b. What is the probability that a randomly selected group of 36 students will have a mean score of more than 80 points? Include a probability statement. You may use calculator commands as long as the parameters are clearly defined. Round final to four decimal places.
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