# Matlab: what is the distribution equal to in Matlab code

• Firben
In summary, Px(x) represents the distribution function for the random variable x in Matlab code, and cannot be set equal to a random number.
Firben

## Homework Statement

A common way of displaying the distribution of a random variable is by a histogram. Consider the interval [a,b) divided into M sub-intervals (bins) of length ΔX. Given a set of N random values of x, call Nj the number of values that fall within the jth interval.

## Homework Equations

If the expected value of Nj is

<Nj> = N Int(from a+(j-1)Δx to a+jΔx) Px(x) dx ~ NΔx/2[Px(a+(j-1)Δx) + Px(a+jΔx)]

where ΔX = (b-a)/M

where Px(x) is the distribution for x

## The Attempt at a Solution

If i want to write a line of code that is the number of particles in a histogram bin of width Δv.

Then what is the Px in Matlab code ? What is it equal to ? If i put Px equal to a arbitrary number say rand(N) then is the line below then correct ?

Nj = (N.*deltaX)./2*rand(1,N); % Number of particles in a histogram of width Δv

In Matlab, Px(x) represents the distribution function for the random variable x. This means that Px(x) is a function that takes in a value of x and returns the probability of that value occurring in the distribution. It cannot be set equal to a random number like rand(N). Instead, you would need to define a specific distribution function for your data and use that in your equation for <Nj>. For example, if your data follows a normal distribution, you could use the normpdf() function in Matlab to define Px(x).

## 1. What is the distribution equal to in Matlab code?

The distribution in Matlab code refers to the statistical distribution of a set of data. It can be represented by various probability distributions such as normal, uniform, exponential, etc.

## 2. How do I specify a distribution in Matlab code?

To specify a distribution in Matlab code, you can use the "distname" functions such as normpdf, unifpdf, exppdf, etc. These functions take in input parameters such as mean, standard deviation, and range to define the distribution.

## 3. Can I plot a distribution in Matlab?

Yes, Matlab has built-in functions such as hist, histfit, and normplot to visualize and plot a distribution. These functions can help you understand the shape and characteristics of the distribution of your data.

## 4. How do I generate random numbers from a specific distribution in Matlab?

You can use the "rand" function in Matlab to generate random numbers from a uniform distribution. For other distributions, you can use the "randn" function for normal distribution, "exprnd" for exponential distribution, etc.

## 5. What is the significance of distribution in Matlab code?

The distribution in Matlab code is essential in statistical analysis and modeling. It helps in understanding the characteristics of the data, making predictions, and testing hypotheses. It is also used in simulations and generating random numbers for various applications.

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