# Exponential Distribution

Exponential Distribution is a great tool to use. Our developer has created really a good tool that really helps so many students.

#### Input

$$\normalsize\ percentile\ x (x≧0)= 1$$ $$\normalsize\ scale\ parameter\ b (b＞0) = 2$$

#### Solution

$$probability\ density\ f\ =0.135335283236612691894$$ $$lower\ cumulative\ P\ =0.864664716763387308106$$

#### Formula

$$\normalsize Exponential\ distribution$$ $$(1)\ probability\ density$$ $$\hspace{30px}f(x,b)={\large\frac{1}{b}e^{-\frac{x}{b}}}$$ $$(2)\ lower\ cumulative\ distribution$$ $$\hspace{30px}P(x,b)={\large\int_{\small 0}^{\small x}}f(t,b)dt={\large 1-e^{-\frac{x}{b}}}$$

## How to use this Exponential Distribution?

Exponential Distribution is a great tool to use. Our developer has created really a good tool that really helps so many students. The students need not to carry any calculator with them because this tool is enough for them. With the help of this tool, they can solve the whole equation.

But if they will try to calculate with the calculator then you will only able to calculate the some part of the calculation with the scientific calculator but our tool you will be able to able to do a lot it will help you calculate your whole equation so that it will be good that you will use this Exponential Distribution calculator by taskvio.com.

It’s really an easy to use tool and you don’t even have to worry about the Exponential Distribution.

Even if you don’t know what is exponential and how you can solve this equation then you can read our small article which is below.

## What is Exponential Distribution?

The dramatic appropriation is one of the generally utilized persistent conveyances. It is frequently used to demonstrate the time passed between occasions. We will currently numerically characterize the remarkable dispersion, and determine its mean and anticipated worth. At that point we will build up the instinct for the appropriation and talk about a few fascinating properties that it has.

A constant irregular variable X is said to have a dramatic circulation with boundary λ>0, appeared as X ∼ Exponential (λ), if its PDF is given by

It is advantageous to utilize the unit step work characterized as

So we can compose the PDF of an Exponential(λ) arbitrary variable as

Allow us to discover its CDF, mean and change. For x>0, we have

So we can communicate the CDF as

Let X∼Exponential(λ). We can locate its normal incentive as follows, utilizing incorporation by parts:

Now, let’s find out var (X). so here we have

So after this we obtain,

### How to use this Exponential Distribution?

To use this tool you don’t have to do much, because as you know this tool is free and web based tool. You can use it anywhere in any country, to use this you just have to follow some simple steps here.

Now, let’s see how to use it.

So as you can see you have given text boxes where you have to input the value of your equations.

After you will enter the value in it you have to simply click on the calculate button to get your equation answer.

That’s all you have to do, even if you want to use this tool in the future then you can use this by bookmarking it in your desktop so that you don’t have to search for it again.

### Q. What Is Exponential Distribution?

A. The Dramatic Appropriation Is One Of The Generally Utilized Persistent Conveyances.