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The lengths of a professor's classes have a continuous uniform distribution between 50.0 min and 52.0...

The 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 between 51.3 and 51.5 min. P(51.3 < X < 51.5) =

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Expert Solution

Solution:

Given: The lengths of a professor's classes have a continuous uniform distribution between 50.0 min and 52.0 min.

That is X ~ Uniform ( a=50.0 , b = 52.0)

then probability mass function of X is :

We have to find: P(51.3 < X < 51.5) = ................?

thus

We can find this probability directly by using cumulative distribution function of uniform distribution:

orchestra answered 2 years ago
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