How long does it take to wait for the next bus?

So when you arrive at the bus stop, the average waiting time until the next bus is always the same: in our case, it is 10 minutes, and this is regardless of how long it has been since the previous bus!

What is the difference between “waiting for” and “await”?

Whereas, ‘await’ is a transitive verb. It takes a direct object. You await the arrival of a train or bus for example. No need for ‘for’ here. Sam was waiting. What was he waiting for?

Is it “on the bus or on the bus”?

In general, most people would say “on the bus,” as others have noted, and either way is technically correct. “Board the bus” is also another way to say it if you aren’t using it in an imperative manner.

Does the waiting time paradox apply to Similar arrivals?

In order to explore whether the waiting time paradox applies, let’s group the data by line, direction, and scheduled interval, then re-stack these similar arrivals together as if they had happened in sequence.

How long is the span between arrival and departure on buses?

In the case of a nominally 10-minute bus line, sometimes the span between arrivals will be longer than 10 minutes, and sometimes shorter, and if you arrive at a random time, you have more opportunities to encounter a longer interval than to encounter a shorter interval.

How many minutes does it take for three customers to arrive?

Since one customer arrives every two minutes on average, it will take six minutes on average for three customers to arrive. Let X = the time between arrivals, in minutes. By part a, μ = 2, so m = = 0.5. Therefore P ( X < 1) = 1 – e (–0.5) (1) = 0.3935.

How far in advance do most travelers buy airline tickets?

The number of days ahead travelers purchase their airline tickets can be modeled by an exponential distribution with the average amount of time equal to 15 days. Find the probability that a traveler will purchase a ticket fewer than ten days in advance. How many days do half of all travelers wait?