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).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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).
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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