A transportation agency reports that drivers in a certain city spend an average of 32 minutes commuting to work one-way each day. Assume that the distribution of commuting times is normal with a standard deviation of 12 minutes. What is the probability that a randomly selected person who commutes to work will say that they spend more than 50 minutes on their way to work? If 9 randomly selected people are surveyed, what is the probability that their average commute time is less than 22 minutes?

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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A transportation agency reports that drivers in a certain city spend an average of 32 minutes commuting to work one-way each day. Assume that the distribution of commuting times is normal with a standard deviation of 12 minutes.

What is the probability that a randomly selected person who commutes to work will say that they spend more than 50 minutes on their way to work?

If 9 randomly selected people are surveyed, what is the probability that their average commute time is less than 22 minutes?

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