SOLUTION: The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 minutes. Fine the probability that a randomly selecte

Question 1186477: The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 minutes. Fine the probability that a randomly selected passenger had a waiting time less than 2.75 minutes.
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!

 

The graph of a uniformly distributed population is a rectangle with total area of 1.  

Its base is 5 units long.  The formula for the area of the whole rectangle is

A = (base)(height) and the area = 1 and base = 5, so substituting,

1 = (5)(h)


So it is 1/5 of a unit high.
 
The shaded rectangle has a base of 2.75. So using the same formula,

A = (base)(height) and the base = 2.75 and height = 1/5, so substituting,


    <---answer

Edwin

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