The duration of a professor's class has continuous uniform distribution between 49.2 minutes and 55.5 minutes. If one class is randomly selected and the probability that the duration of the class is longer than a certain number of minutes is 0.421, then find the duration of the randomly selected class, i.e., if P(x > c) = 0.421, then find c, where c is the duration of the randomly selected class. Round your answer to one decimal places. C= minutes

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 7E
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The duration of a professor's class has continuous uniform
distribution between 49.2 minutes and 55.5 minutes. If one
class is randomly selected and the probability that the
duration of the class is longer than a certain number of
minutes is 0.421, then find the duration of the randomly
selected class, i.e., if P(x > c) = 0.421, then find c,
where c is the duration of the randomly selected class.
Round your answer to one decimal places.
C=
minutes
Transcribed Image Text:The duration of a professor's class has continuous uniform distribution between 49.2 minutes and 55.5 minutes. If one class is randomly selected and the probability that the duration of the class is longer than a certain number of minutes is 0.421, then find the duration of the randomly selected class, i.e., if P(x > c) = 0.421, then find c, where c is the duration of the randomly selected class. Round your answer to one decimal places. C= minutes
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