A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 47 and 57 minutes. Find the probability that a given class period runs between 50.5 and 51 minutes?

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Answer 1 · 2018-03-27T23:35:56

$0.05$

The easiest way to answer this question is to recognize that a uniform probability distribution is essentially a rectangle with an area equal to 1.

Now find the area of a portion of this rectangle.

$(51-50.5)/(57-47)=0.5/10=0.05$

$1*0.05=0.05$