Chapter 4 - Probability & Video 10 Uniform Distrubtion Notes - Edubirdie

University:
McMaster University
Course:
STATS 1LL3 | Introduction to Probability and Statistics
Academic year:

2023
Views:

249

Pages:

2
Author:

Sabrina S.

CH 4: Probability Video 10: Uniform distribution Scenario → The train arrives at the station every 30 minutes. It takes 10 minutes to get from the gate to the platform. What are the chances you make your train? Which probability distribution should we use? The uniform distribution train leaves every 30 minutes time train leaves is between 0 and 30 you don't know what time you arrive at the station relative to the trains times. time you arrive at the station is a random variable distributed somewhere between 0 and 30. the uniform distribution If you have a continuous random variable. If it is equally likely to lie between interval a and b If it is completely impossible to lie outside this interval It is uniform distribution X ~ U (a,b) and probability density function of f(x) = 1/(b-a) a ≤ x ≤ b 0 elsewhere Uniform distribution It is the simplest possible continuous distribution. It is used to model the situation where all values in some interval (a, b) are equally likely to occur. If the continuous random variable X is equally likely to take on any value in the interval (a, b), then X has the uniform distribution X ~ U (a, b), with probability density function

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