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The 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 less than 51.7 min.

P(X < 51.7) =



Answer :

sqdancefan

Answer:

  P(X<51.7) = 0.85

Step-by-step explanation:

Given a uniform probability distribution between 50 and 52, you want P(X<51.7).

Uniform distribution

The area of the PDF is always 1, so it will be 1/2 unit high with width 2 between X=50 and X=52. The desired probability is the area under the curve from X=50 to X=51.7.

That area will be (1.7/2) = 0.85 of the total area of the distribution function.

  P(X < 51.7) = 0.85

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