10:24 PM Wed Feb 26 15\% Uniform Distributions (Statistics 3) 0.3 1 0.17 6. The amount of time a service technician needs to change the oil in a car is uniformly distributed between 11 and 21 minutes. Find the 50 percentile (1 Point) Calls More Enter your answer Submit Microsoft 365 This content is created by the owner of the form. The data you submit will be sent to the form owner. Microsoft is not responsible for the privacy or security practices of its customers, including those of this form owner. Never give out your password. Microsoft Forms | Al-Powered surveys, quizzes and polls Create my own form Privacy and cookies | Terms of use

To find the 50th percentile (also known as the median) of a uniform distribution, you simply average the lower and upper limits of the distribution. In this case, the limits are 11 minutes and 21 minutes. So, the median is (11 + 21) / 2 = 16 minutes. This means that half of the time, the service technician will take less than 16 minutes, and half the time, they'll take more! Uniform distributions are fascinating because they imply that every outcome within the range is equally likely. This is a key point in statistics and is often applied in various fields, like quality control or risk management, where knowing the range of possibilities can help organizations prepare better. So, whether you're scheduling appointments for oil changes or estimating service times, understanding uniform distributions can smooth out the process!