The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0and 7minutes. find the probability that a randomly selected passenger has a waiting time greater than3.25minutes.

0.5357

Step-by-step explanation:

The waiting times are uniformly distributed between 0 and 7 minutes. We need to find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes.

The formula to use for uniform distribution is:

where,

b is the upper limit of the distribution which is 7 in this case.

a is the lower limit of the distribution which is 0 in this case.

x is the concerned value which is 3.25 in this case.

Using these values, we get:

This means, the the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.5357