The time it takes a group of Grade 11 students to complete the Final Exam in Statistics and Probability is known to be normally distributed. The mean is 58 minutes and the standard deviation is 4 minutes. (a) What is the probability that a randomly selected student will complete the examination in less than 54 minutes? (b) If 5 randomly selected students take the exam, what is the probability that the mean time it takes the group to finish will be less than 54?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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M1. Answer a and b
Answer the problem:
The time it takes a group of Grade 11 students to complete
the Final Exam in Statistics and Probability is known to
be normally distributed. The mean is 58 minutes and the
standard deviation is 4 minutes.
(a) What is the probability that a randomly selected student
will complete the examination in less than 54 minutes?
(b) If 5 randomly selected students take the exam, what is the
probability that the mean time it takes the group to finish will
be less than 54?
Transcribed Image Text:Answer the problem: The time it takes a group of Grade 11 students to complete the Final Exam in Statistics and Probability is known to be normally distributed. The mean is 58 minutes and the standard deviation is 4 minutes. (a) What is the probability that a randomly selected student will complete the examination in less than 54 minutes? (b) If 5 randomly selected students take the exam, what is the probability that the mean time it takes the group to finish will be less than 54?
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