Buses Arrive and Depart from a College Every 25 Minutes $f ( t ) = \frac { 1 } { 25 }$

Multiple Choice

Buses arrive and depart from a college every 25 minutes. The probability density function for the waiting time t (in minutes) for a person arriving at the bus stop is $f ( t ) = \frac { 1 } { 25 }$ on the interval $[ 0,25 ]$ . Find the probability that the person will wait no longer than 10 minutes.

A) $\frac { 1 } { 25 }$
B) $\frac { 1 } { 10 }$
C) $\frac { 2 } { 5 }$
D) $\frac { 3 } { 5 }$
E) $\frac { 1 } { 250 }$