SOLUTION: he lengths of a professor's classes has 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

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Question 1166399: he lengths of a professor's classes has 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 between 50.6 and 51.9 min.
Answer by themasterofcircuits(27) About Me  (Show Source):
You can put this solution on YOUR website!
The PDF of the Continuous Uniform Distribution is given by: f%28x%29=1%2F%28b-a%29, where b is the highest value of x and a is the lowest value of x. Here, we have a PDF of f%28x%29=1%2F%2852.0-50.0%29, so f%28x%29=1%2F2
To find P%2850.6%3Cx%3C51.9+%29:
P%2850.6%3Cx%3C51.9%29 = %281%2F2%29%2A%2851.9-50.6%29 = %281%2F2%29%2A%281.3%29 = 0.65
Hence, P%2850.6%3Cx%3C51.9+%29=0.65