Use the definition of random selection of points in an inter

Use the definition of random selection of points in an interval

Past experience shows that every new book by a certain publisher captures between 4 and 12% of the market. What is the probability that the next book by this publisher will capture at most 6.84% of the market?

Solution

The captured percentage represents a randomly chosen point from the

interval [ 4, 12 ]. The problem asks for the probability that the captured percentage

lies in the interval [ 4, 6.35 ]. That probability is

( 6.35 - 4 ) / ( 12 - 4 ) = 2.35 / 8 = 0.29375