After arriving at the university student medical clinic, the waiting times to receive service after checking-in follow an exponential distribution with a mean of 10 minutes.

How many students are served per hour?

Calculate the probability a student waits less than 6 minutes.

6 students are served per hour.

45.12% probability a student waits less than 6 minutes.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

In which is the decay parameter.

The probability that x is lower or equal to a is given by:

Which has the following solution:

mean of 10 minutes.

This means that , so

How many students are served per hour?

One student is served each 10 minutes, on average

An hour has 60 minutes

60/10 = 6

6 students are served per hour.

Calculate the probability a student waits less than 6 minutes.

45.12% probability a student waits less than 6 minutes.

if im not mistaking its

step-by-step explanation:  

8: 40

2 hours

10: 40

55 min

11: 35