Question

If my wait time is between 1 and 11 minutes and is uniformly distributed, how long, on average, will I wait for the train?

10 minutes
5 minutes
3 min
6 min

Answer 1

Answer: 6 min

Explanation:

To find the average wait time, we can use the formula for the average of a uniformly distributed random variable.

In this case, the wait time is uniformly distributed between 1 and 11 minutes. The formula for the average of a uniform distribution is:

Average = (minimum value + maximum value) / 2

Plugging in the values for this problem, we get:

Average = (1 + 11) / 2 = 12 / 2 = 6

Therefore, on average, you can expect to wait for approximately 6 minutes for the train.

I hope this helps :)