How to Calculate and Solve for Mean | Probability

January 7, 2020March 29, 2024 Loveth Idoko

Last Updated on March 29, 2024

The image above represents the mean. Two essential parameters are needed to calculate the mean: the number of possible outcomes in any single trial (n) and the probability of success in any single trial (p).

The Formula for Calculating Mean

μ = np

Where;

μ = Mean
n = Number of Possible Outcomes in Any Single Trial
p = Probability of success in any single trial

Let’s solve an example;
Find the mean when the number of possible outcomes in any single trial is 8 and the probability of success in any single trial is 1.

This implies that;

n = Number of Possible Outcomes in Any Single Trial = 8
p = Probability of success in any single trial = 1

So, μ = np
μ = (8)(1)
μ = 8

Therefore, the mean is 8.

Calculating the Number of Possible Outcomes in Any Single Trial when the Mean and the Probability of Success in Any Single Trial are Given

n = ^μ / _p

Where;

n = Number of Possible Outcomes in Any Single Trial
μ = Mean
p = Probability of Success in Any Single Trial

Let’s solve an example;
Find the number of possible outcomes in any single trial when the mean is 15, and the probability of success in any single trial is 1.

This implies that;

μ = Mean = 15
p = Probability of Success in Any Single Trial = 1

Then, n = ^μ / _p
n = ¹⁵ / ₁
n = 15

Therefore, the number of possible outcomes in any single trial is 15.

Calculating the Probability of Success in Any Single Trial when the Mean and the Number of Possible Outcomes in Any Single Trial are Given

p = ^μ / _n

Where;

p = Probability of Success in Any Single Trial
μ = Mean
n = Number of Possible Outcomes in Any Single Trial

Let’s solve an example;
Given the mean is 4 and the number of possible outcomes in any single trial is 2. Find the Probability of success in any single trial?

This implies that;

μ = Mean = 4
n = Number of Possible Outcomes in Any Single Trial = 2

So, p = ^μ / _n
p = ⁴ / ₂
p = 2

Therefore, the probability of success in any single trial is 2.

How to Calculate and Solve for Mean Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the mean.

To get the answer and workings of the mean using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus

To get access to the professional version via web, you need to register and subscribe for NGN 1,500 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Probability under Mathematics.

Now, Click on Mean under Probability

The screenshot below displays the page or activity to enter your values, to get the answer for the mean according to the respective parameters which are the number of possible outcomes in any single trial (n) and probability of success in any single trial (p).

Now, enter the values appropriately and accordingly for the parameters as required by the number of possible outcomes in any single trial (n) is 8 and probability of success in any single trial (p) is 1.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the mean and presents the formula, workings and steps too.