The image above represents expectation. To calculate expectation, two essential parameters are needed, and these parameters are Number of Items or Trials (N) and Probability that the Event A will occur in any one Trial, P(A).
The formula for calculating expectation:
Expectation = N x P(A)
Where;
N = Number of Item or Trial
P(A) = Probability that the Event A will occur in any one Trial
Let’s solve an example;
Find the expectation when the number of items is 20 and the probability that the event A will occur in any one trial is 1.
This implies that;
N = Number of Item or Trial = 20
P(A) = Probability that the Event A will occur in any one Trial = 1
Expectation = N x P(A)
That means, Expectation = 20 x 1
Expectation = 20
Therefore, the expectation is 20.
Calculating for Number of Items or Trial when the Expectation and the Probability that the Event A will occur in any one Trial are Given
N = Expectation / P(A)
Where;
N = Number of Items or Trial
P(A) = Probability that the Event A will occur in any one Trial
Let’s solve an example;
Find the number of items or trial when the expectation is 25 and the probability that the Event A will occur in any one Trial is 1.
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This implies that;
Expectation = 25
P(A) = Probability that the Event A will occur in any one Trial = 1
So, N = Expectation / P(A)
N = 25 / 1
N = 25
Therefore, the number of items or trial is 25.
Read more:Â How to Calculate and Solve for Standard Deviation | Probability
Calculating for Probability that the Event A will occur in any one Trial when the Expectation and the Number of Items or Trial are Given
P(A) = Expectation / N
Where;
P(A) = Probability that the Event A will occur in any one Trial
N = Number of Items or Trial
Let’s solve an example;
Find the probability that the Event A will occur in any one trial when the expectation is 25 and the number of items or trial is 25.
This implies that;
P(A) = Probability that the Event A will occur in any one Trial = 25
N = Number of Items or Trial = 25
That is, P(A) = Expectation / N
P(A) = 25 / 25
P(A) = 1
Therefore, the probability that the event A will occur in any one trial is 25.
How to Calculate and Solve for Expectation in Probability Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the expectation.
To get the answer and workings of the expectation 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 Expectation under Probability
The screenshot below displays the page or activity to enter your values, to get the answer for the expectation according to the respective parameters which are the Number of Items or Trials (N) and Probability that the Event A will occur in any one Trial, P(A).
Now, enter the values appropriately and accordingly for the parameters as required by the Number of Items or Trials (N) is 20 and Probability that the Event A will occur in any one Trial, P(A) is 1.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the expectation and presents the formula, workings and steps too.
