​Geometric Distribution

The word geometric distribution relates to the probability of getting successful after repeated failures. It is like tossing the dice several times of getting “six” and the chances of getting other numbers are more. So what will be the probability of getting six? It is the geometric distribution. This is the result of Bernoulli trials, you can also represent it as a “probability density function.”

Formula of ​Geometric Distribution Calculator

The mathematical representation of the probability density function:

f(x) = (p)x – 1q

Where,

f = functions

p = probability of finding accurate results or success

q = probability of failure

x = number of total trials

1 = total number of attempts we are going to make

Note:

To gain knowledge about density, click the Density Calculator.

Example

15% of the cars passing along certain roads are blue. What is the probability that the 7th car will be blue or not?

Solution

We are taking the probability of passing cars as 1, so finding the blue car on road will be 0.15, and not finding it will be automatically 0.85%. The total number of cars is 7 in number.

f(x) = (q)x-1p
f(7) = (0.85)7-1(0.15)
f(7) = (0.85)6(0.15)
f(7) = 0.056
f(7) = 5.7% approx.

So the answer is we have a chance to get the next car to blue by nearly 5.7%.

Using this method is helpful in getting predictions about upcoming results. You can use this method to estimate the results are probably what will be expected in the future.

How to use ​Geometric Distribution Calculator?

The steps to use ​a geometric distribution calculator are as follows:

Step 1: Enter the values of a number of failures in the first required input.

Step 2: Enter the values of probability of success in the second required input.

Step 3: The calculator will automatically display an answer on the screen.

Calculator use

The geometric distribution calculator is useful in helping you to find accurate results by clicking a button. Forget the messed up solutions and putting manually all the values. You do not have to apply the formula manually using this calculator. Simply put the values expected for success and failure and you will get the ratio or percentage of in the answer.