SOLUTION: The lengths of a professor's classes has a continuous uniform distribution between 49.2 min and 55.5 min. One class is randomly selected. If P(x > c) = 0.352 , find c.

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Question 1119166: The lengths of a professor's classes has a continuous uniform distribution between 49.2 min and 55.5 min. One class is randomly selected.
If P(x > c) = 0.352 , find c.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!

The data form a continuous uniform distribution with a range between 49.2 and 55.5 minutes, a range of 6.3 minutes. If you want the value of c for which P(x > c) is 0.352, since the distribution is uniform, you want the value of c for which 0.352 of the range between 49.2 and 55.5 is greater than c.

So the value of c is

55.5+-+0.352%2855.5-49.2%29+=+55.5+-+2.2176+=+53.2824