You arrive at a bus stop at 10 oclock and know that time tha

You arrive at a bus stop at 10 o\'clock, and know that time that the bus will arrive is uniformly distribuited between 0 and 30 minutes (from the time that you arrive at the bus stop).

a.) What is the probability that you will have to wait longer than 10 minutes for the bus to arrive? Include the appropriate probability statement with your solution.

b.) If the bus has not arrived by 10:15, what is the probability that you will have to wait an additional 10 minutes or more for the bus? Include the appropriate probability statement with your solution.

Solution