The amount of time to complete a physical activity in a PE class is approximately normally normally distributed with a mean of 35.3 seconds and a standard deviation of 7.1 seconds. a) What is the probability that a randomly chosen student completes the activity in less than 32.4 seconds? b) What is the probability that a randomly chosen student completes the activity in more than 41.7 seconds? c) What proportion of students take between 30.4 and 39.2 seconds to complete the activity? d) 95% of all students finish the activity in less than seconds.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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The amount of time to complete a physical activity
in a PE class is approximately normally normally
distributed with a mean of 35.3 seconds and a
standard deviation of 7.1 seconds.
a) What is the probability that a randomly chosen
student completes the activity in less than 32.4
seconds?
b) What is the probability that a randomly chosen
student completes the activity in more than 41.7
seconds?
c) What proportion of students take between 30.4
and 39.2 seconds to complete the activity?
d) 95% of all students finish the activity in less than
seconds.
Transcribed Image Text:The amount of time to complete a physical activity in a PE class is approximately normally normally distributed with a mean of 35.3 seconds and a standard deviation of 7.1 seconds. a) What is the probability that a randomly chosen student completes the activity in less than 32.4 seconds? b) What is the probability that a randomly chosen student completes the activity in more than 41.7 seconds? c) What proportion of students take between 30.4 and 39.2 seconds to complete the activity? d) 95% of all students finish the activity in less than seconds.
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