Question

Assume that the amount of time that it takes an employee to service a car at an oil change facility follows the uniform probability distribution between 21 and 38 minutes. What is the probability that a randomly selected car will require less than 25 minutes to service?

Answer 1

The probability is
`P(X < 25) = 0.308`

Explanation:

From the question we are told that

The amount of time is uniform probability distribution between 21 and 38 minutes.

Given that the amount of time is uniformly distributed then the probability that a randomly selected car will require less than 25 minutes to service is mathematically evaluated as

`P(X < 25) = ( 25 - 21)/(38 - 21)`

=>
`P(X < 25) = 0.308`