1) A college professor decides to enter grades in terms of standard deviation. The grades are normally distributed with a mean of 80 and a standard deviation of 6. a. What is the probability that a randomly selected student scores a 90 or higher? b. What is the probability that a randomly selected student scores lower than a 70? C. Use the empirical rule to determine the following: if the professor has 60 students, approximately how many of those students should have scored between a 74 and 86? (Give the number of students, not just the percentage).
1) A college professor decides to enter grades in terms of standard deviation. The grades are normally distributed with a mean of 80 and a standard deviation of 6. a. What is the probability that a randomly selected student scores a 90 or higher? b. What is the probability that a randomly selected student scores lower than a 70? C. Use the empirical rule to determine the following: if the professor has 60 students, approximately how many of those students should have scored between a 74 and 86? (Give the number of students, not just the percentage).
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
Transcribed Image Text:1) A college professor decides to enter grades in terms of standard deviation. The grades are
normally distributed with a mean of 80 and a standard deviation of 6.
What is the probability that a randomly selected student scores a 90 or higher?
b. What is the probability that a randomly selected student scores lower than a 70?
Use the empirical rule to determine the following: if the professor has 60 students,
a.
С.
approximately how many of those students should have scored between a 74 and 86?
(Give the number of students, not just the percentage).
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