Question: A commuter arrives at a station to catch a train. Although she doesn’t know its exact arrival time, she does know it will arrive at any time in the next five minutes. Suppose \[X\] denotes the amount of time the commuter waits for the train. Use this information to find the following probabilities.

a) \[P\left( X=3.5 \right)\]

b) \[P\left( X\le 3.75 \right)\]

c) \[P\left( 3.95\le X\le 4.25 \right)\]

d) \[P\left( X\ge 2.75 \right)\]