# A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 52.0 minutes. Find the probability that a given class period runs between 50.25 and 50.75 minutes.

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###### Question:

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 52.0 minutes. Find the probability that a given class period runs between 50.25 and 50.75 minutes.

## Answers

Answer:The probability that a given class period runs between 50.25 and 50.75 minutes = 0.25Step-by-step explanation:Length of the class = 52 - 50 = 2 The probability density is [tex]\frac{1}{2} = 0.5[/tex]The probability that a given class period runs between 50.25 and 50.75 minutes. is calculated by multiplying range with the probability density.Range = 50.75 - 50.25 = 0.5Now the probability P (50.25<x<50.75) = 0.5 × 0.5 = 0.25This is the probability that a given class period runs between 50.25 and 50.75 minutes.

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