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 more than 30 minutes to service?

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Quizplus · Accepted Answer

The uniform distribution probability is calculated as (x - a) / (b - a), where x is the point of interest, a is the minimum value, and b is the maximum value. Here, to find the probability of a service taking more than 30 minutes, we calculate the probability of a service taking 30 minutes or less and subtract it from 1. So, (30 - 21) / (38 - 21) = 9 / 17. The probability of taking more than 30 minutes is 1 - 9/17 = 8/17, which is approximately 0.4706.

Assume That the Amount of Time That It Takes an Employee