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Your statistics teacher, knowing the power of sampling, decides to use only 3 of your 5 quiz grades in assigning your grade for the course,

Your statistics teacher, knowing the power of sampling, decides to use only 3 of your 5 quiz grades in assigning your grade for the course, chosen at random. Your quiz average using all 5 quizzes is 81.6, with a standard deviation of 11.84.

What is the probability that your sampled quiz average will be less than 80?

What is the probability that your sampled quiz average will be more than 85?

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