Created By : Vaibhavi Kumari
Reviewed By : Rajashekhar Valipishetty
Last Updated : Mar 24, 2023

Simple step-by-step calculator to find the mean of the discrete probability distribution is here. This handy Mean of probability distribution calculator takes the x values, p(x) values as inputs and gives output within split seconds with detailed explanation.

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Data valueProbability of data

### How to Find the Mean of Probability Distribution ?

To calculate the mean of any probability distribution, we have to use the following formula:

The formula for Mean or Expected Value of a probability distribution is as follows:

μ = Σx * P(x)

Where,

• x = Data value
• P(x) = Probability of value

The following are the simple steps to find the expected value or mean for the discrete probability distribution manually with ease.

• Firstly, observe the x values given in the problem and then the probability values for each random variable occured.
• Multiply the random value with its probability
• Finally, add up all the product values and get the mean of the probability distribution.

### Binomial Distribution Mean Calculator Solved Example

Example:

Let's consider the probability distribution for the snookers team:

 X P(X) 2 0.1 5 0.2 6 0.3 8 0.4

Solution:

First, we have to multiply the corresponding X results with the related probabilities to compute the population mean μ:

 X p(X) X * p(X) 2 0.1 2*0.1=0.2 5 0.2 5 *0.2=1 6 0.3 6*0.3=1.8 8 0.4 8 * 0.4 = 3.2

Hence the mean of the probability distribution is calculated as:

μ = ∑ Xi * P(Xi)

= 2⋅0.1+5⋅0.2+6⋅0.3+8⋅0.4

= 6.2

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### FAQs on Handy Mean of a Binomial Probability Distribution Calculator

1. What does P(X=x) mean?

P(X=x) means the probability that the random variable X is equal to a specific value, indicated by x. For instance, P(X=1) refers to the probability that the random variable X is equal to 1.

2. How do you find the mean of a probability distribution?