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?

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