Suppose the time it takes for Sandy to run one kilometer is uniformly distributed from 360 seconds to 450 seconds. a. What is the probability that Sandy will take less than 400 seconds to run a kilometer?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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1. Suppose the time it takes for Sandy to run one kilometer is uniformly distributed from 360 seconds to 450 seconds.
а.
What is the probability that Sandy will take less than 400 seconds to run a kilometer?
b. What is the probability that Sandy will take more than 420 seconds to run a kilometer?
What is the cutoff for the fastest 5% of Sandy's (1 km) running time?
С.
Transcribed Image Text:1. Suppose the time it takes for Sandy to run one kilometer is uniformly distributed from 360 seconds to 450 seconds. а. What is the probability that Sandy will take less than 400 seconds to run a kilometer? b. What is the probability that Sandy will take more than 420 seconds to run a kilometer? What is the cutoff for the fastest 5% of Sandy's (1 km) running time? С.
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