# How do you create a uniform distribution in Matlab?

## How do you create a uniform distribution in Matlab?

X = rand returns a single uniformly distributed random number in the interval (0,1). X = rand( n ) returns an n -by- n matrix of random numbers. X = rand( sz1,…,szN ) returns an sz1 -by-… -by- szN array of random numbers where sz1,…,szN indicate the size of each dimension.

How do you create a uniform distribution?

The notation for the uniform distribution is X ~ U(a, b) where a = the lowest value of x and b = the highest value of x. The probability density function is f(x)=1b−a f ( x ) = 1 b − a for a ≤ x ≤ b.

### How do you explain uniform distribution?

Uniform distributions are probability distributions with equally likely outcomes. In a discrete uniform distribution, outcomes are discrete and have the same probability. In a continuous uniform distribution, outcomes are continuous and infinite. In a normal distribution, data around the mean occur more frequently.

What is the difference between rand and Randn in MATLAB?

randn gives a real number between -1 to 1. Mathematically, randn gives a number from Normal Distribution, whereas, rand gives a number from Uniform Distribution.

## What does Randn do in MATLAB?

Description. X = randn returns a random scalar drawn from the standard normal distribution. X = randn( n ) returns an n -by- n matrix of normally distributed random numbers.

What is the difference between uniform and normal distribution?

Normal Distribution is a probability distribution which peaks out in the middle and gradually decreases towards both ends of axis. Uniform Distribution is a probability distribution where probability of x is constant.

### What is the uniform distribution in statistics?

uniform distribution, in statistics, distribution function in which every possible result is equally likely; that is, the probability of each occurring is the same.

What is the difference between normal and uniform distribution?

## When to use uniform distribution?

Define the random variable. X =________

• X ~________
• Graph the probability distribution.
• The distribution is______________(name of distribution).
• μ =________
• σ =________
• Find the probability that the time is at most 30 minutes.
• Find the probability that the time is between 30 and 40 minutes.
• P (25 < x < 55) =_________.
• Find the 90 th percentile.
• What is standard uniform distribution?

What is a standard uniform distribution? The uniform distribution (continuous) is one of the simplest probability distributions in statistics. It is a continuous distribution, this means that it takes values within a specified range, e.g. between 0 and 1.

### What is the expected value for uniform distribution?

Expected Value Theexpectedvalueofauniformdistributionis: E(X) = Z b a xf(x)dx = Z b a x b−a dx = b−a 2 Inourexample,theexpectedvalueis 40−0 2 = 20 seconds. Variance Thevarianceofauniformdistributionis: Var(X) = E(X 2)−E (X) = Z b a x2 b−a dx− b−a 2! 2 = (b−a) 12 Inourexample,thevarianceis (40−0)2 12 = 400 3 Standard Uniform Distribution

What is the standard deviation of an uniform distribution?

– σ = √ [ (b – a) ^ 2/ 12] – = √ [ (15 – 0) ^ 2/ 12] – = √ [ (15) ^ 2/ 12] – = √ [225 / 12] – = √ 18.75