The time X in hours which it takes to travel from Austin to

The time X in hours which it takes to travel from Austin to Dallas, Dallas by train has the probability density function show below. Find the probability that the time it takes to travel by train from Austin to Dallas will not exceed 14 hours.

F(x)= 1/20 , 0<x<20

              0, elsewhere

Solution

given

f(x)=1/20      0<X<20

and we have to find P(0<X<14)

      so

P(0<x<100)=integrate(1/20) from 0 to 14

           =     [x/20]_{at 14} - [x/20] _{at 0}

              =14/20    -0

                 =0.7   answer