The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 minutes. Find the probability that a randomly selected passenger has a waiting time less than 1.75 minutes.
Find the probability that a randomly selected passenger has a waiting time less than 1.75 minutes.
(Simplify your answer. Round to three decimal places as needed.)

Step 1 ：The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 minutes. This means that the probability of a passenger waiting for any particular amount of time between 0 and 5 minutes is the same.

Step 2 ：Therefore, the probability of a passenger waiting less than 1.75 minutes is simply the ratio of 1.75 minutes to the total time interval of 5 minutes.

Step 3 ：Let's calculate this ratio: \(\frac{1.75}{5}\)

Step 4 ：The result is 0.35

Step 5 ：Final Answer: The probability that a randomly selected passenger has a waiting time less than 1.75 minutes is \(\boxed{0.35}\)