A statistics professor plans classes so carefully that the l

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 49.0 and 54.0 minutes. Find the probability that a given class period runs between 50.25 and 50.75 minutes.

* Please explain how you got the answer.

Solution

Note that here,          
          
a = lower fence of the distribution =    49      
b = upper fence of the distribution =    54      
              
          
Thus, the area between the said numbers is          
          
c = lower number =    50.25      
d = higher number =    50.75      
          
Thus, the probability between these two values is          
          
P = (d - c)/(b - a) =    0.1   [ANSWER]