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Sep 11, · This statistics video provides a basic introduction into continuous probability distribution with a focus on solving uniform distribution problems. It expla. The uniform distribution is sometimes called the “equally likely outcomes” distribution. The PDF (probability density function) of the continuous uniform distribution is calculated as follows: f (x) = 1/ (b-a) for a ? x ? b and 0 for all other x.

In this tutorial we will discuss some examples on discrete uniform distribution and learn how to compute mean of uniform distribution, variance of uniform distribution and probabilities related to uniform distribution.

Find the probability that the number appear on the top is less than 3. The probability that the number appear on the top of the die is less than 3 is. A telephone number is selected at random from a directory.

Find the probability that the last digit of the selected number is. The probability that the last digit of the selected telecphone number is greater how to make vegetable pasta noodles or equal to 8. This website uses cookies to ensure you get the best experience on our site and to provide a comment feature.

To analyze our traffic, we use basic Google Analytics implementation with anonymized data. If you continue without changing your settings, we'll assume that you are happy to receive all cookies on the vrcacademy.

To understand more about how we use cookies, or for information on how to change your cookie settingsplease see our Privacy Policy. Discrete uniform distribution In this tutorial we will discuss some examples on discrete uniform distribution and learn how to compute mean of uniform distribution, variance of uniform distribution and probabilities related to uniform distribution.

Find the probability that an even number appear on the top, b. Find the probability that the last digit of the selected number is a. Raju Chaudhari. Raju is nerd at heart with a background in Statistics.

He holds a Ph. Cookies This website uses cookies to ensure you get the best experience on our site and to provide a comment feature. Cookie Policy.

The Uniform Distribution

The bus arrives at the station every $45$ minutes in the time interval from $7am$ to $7pm$. The person at the station comes in order. The time that the person will wait is uniformly distributed in. Sep 25, · In a uniform probability distribution, all random variables have the same or uniform probability; thus, it is referred to as a discrete uniform distribution. Imagine a box of 12 donuts sitting on the table, and you are asked to randomly select one donut without looking. Sampling from the distribution corresponds to solving the equation for rsample given random probability values 0 ? x ? 1. I. Uniform Distribution p(x) a b x The pdf for values uniformly distributed across [a,b] is given by f(x) = Sampling from the Uniform distribution: (pseudo)random numbers x drawn from [0,1] distribute uniformly across the.

The continuous uniform distribution is the simplest probability distribution where all the values belonging to its support have the same probability density. It is also known as rectangular distribution. This tutorial will help you understand how to solve the numerical examples based on continuous uniform distribution.

The waiting time at a bus stop is uniformly distributed between 1 and 12 minute. Assume the weight of a randomly chosen American passenger car is a uniformly distributed random variable ranging from 2, pounds to 4, pounds. The mean weight of a randomly chosen vehicle is. This website uses cookies to ensure you get the best experience on our site and to provide a comment feature. To analyze our traffic, we use basic Google Analytics implementation with anonymized data.

If you continue without changing your settings, we'll assume that you are happy to receive all cookies on the vrcacademy. To understand more about how we use cookies, or for information on how to change your cookie settings , please see our Privacy Policy. Continuous Uniform Distribution The continuous uniform distribution is the simplest probability distribution where all the values belonging to its support have the same probability density. Example 1 The waiting time at a bus stop is uniformly distributed between 1 and 12 minute.

What is the probability density function? What is the probability that the rider waits 8 minutes or less? What is the expected waiting time? What is standard deviation of waiting time?

Example 2 Assume the weight of a randomly chosen American passenger car is a uniformly distributed random variable ranging from 2, pounds to 4, pounds. What is the mean and standard deviation of weight of a randomly chosen vehicle? What is the probability that a vehicle will weigh less than 3, pounds?

More than 3, pounds? Between 3, and 3, pounds? Raju Chaudhari. Raju is nerd at heart with a background in Statistics. He holds a Ph. Cookies This website uses cookies to ensure you get the best experience on our site and to provide a comment feature. Cookie Policy.

## 2 comments

## Malagore

As I just started doing some animations for the past few months, this video really helps me, thank you.

## Shaktizuru

Thanks. I hope it helps.