The amount of time in minutes between the arrivals of buses at a bus stop is a random variable with a uniform distribution on the interval (8,12). A student arrives at the bus stop just as a bus is driving away. She decides that she will wait at most 10 minutes for the next bus and if one has not arrived by then, she will walk home. Let ! denote the amount of time in minutes that she will wait.

(i) Calculate P(Y 9)

(ii) Calculate P(Y = 10).