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Social ScienceThe lengths of a professor's classes have a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is more than 51.6 min.P(X > 51.6) = (Report answer accurate to 2 decimal places.)
P(X > 51.6) =
(Report answer accurate to 2 decimal places.)
Expert Answer
Solution: We are given that the lengths of a professor's classes have a continuous uniform distribution between 50.0 min and 52.0 min.
Therefore, the probability density function of the given random variale is:
Image Transcriptionclose
1 1 f(x) b-a 52.0-50.0 2
We have to find the probability that the class length is more than 51.6 min....
Image Transcriptionclose
Р(X >51.6) - Fjd SL6 1 52-51.6 2 0.4 =0.2 2 :. Р(Х >51.6) - 0.2
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