Geometric Distribution Examples

Here few examples that help you to calculate the geometric distribution probability values by providing the total number of occurrence and probability of success. Geometric probability is the general term for the study of problems of probabilities related to geometry and their solution techniques.

Geometric Probability Distribution Examples and Solutions

Example 1:

Let us consider the problem with the value of Total Number of Occurrence as 7 and the value of Probability of Success as 0.5.

Solution:

We can calculate the Geometric Distribution using the given formula.

Formula:

P(x) = qxp Where , p = Probability of Success for a Single Trial q = Probability of Failure for a Single Trial ( = 1-p ) x = Total Occurrence - 1

Substituting the values in the formula,

Probability of Failure for a single trial = 1 - 0.5 = 0.5

Substituting the probability of failure and success in the above given formula,

= 0.56 x 0.5 = 0.015625 x 0.5 = 8748

Therefore, the value of Geometric Probability Distribution is 2916.000000.

Example 2:

Let us consider the problem with the value of Total Number of Occurrence as 6 and the value of Probability of Success as 0.9 What is the value of geometric distribution?

Solution:

Substituting the values in the formula,

Probability of Failure for a single trial = 1 - 0.9 = 0.1

Substituting the probability of failure and success in the above given formula,

= 0.16 x 0.9 = 0.000001 x 0.9 = 0.0000009

Therefore, the value of Geometric Probability Distribution is 0.0000009.


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