Question

Asked Oct 19, 2019

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between

0

and

8

minutes. Find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes.

Find the probability that a randomly selected passenger has a waiting time

greater than 3.25 minutes.

Step 1

**Continuous uniform distribution:**

A random variable *X* is said to have the rectangular distribution or the continuous distribution with parameters (*a*, *b*), if *a* and *b* are the minimum and maximum possible values of *X* respectively, such that the probabilities of getting *X* in all equal intervals within (*a*, *b*) are equal. The probability density function (PDF) of the uniformly distributed random variable with parameters (*a*, *b*) is:

Step 2

**The distribution in this case:**

Let *X* denotes waiting times between a subway departure schedule and the arrival of a passenger. Here, the random variable *X* is ...

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