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) $\frac { 1 } { 250 }$

Question

Quizplus · Accepted Answer

The probability is calculated by integrating the density function from 0 to 10, which gives $\int_{0}^{10} \frac{1}{25} dt = \frac{10}{25} = \frac{2}{5}$.

Buses Arrive and Depart from a College Every 25 Minutes f(t)=125f ( t ) = \frac { 1 } { 25 }f(t)=251​

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