Try find relationship between E(Π(Π-E(Π))) and var(Π)

In summary, the conversation is about a request for help with proving a relationship between E(Π(Π-E(Π))) and var(Π). The person is asked to show their work and where they are stuck, and is reminded to post homework questions in the appropriate forum. The other person agrees to help and asks for more details on the relationship they are trying to prove.
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You need to show us your work, and show us where you're stuck, before we can help you. Also, please post homework questions in the appropriate Homework Help forum.

- Warren
 
  • #3
chroot said:
You need to show us your work, and show us where you're stuck, before we can help you. Also, please post homework questions in the appropriate Homework Help forum.

- Warren

thanks for the reply, there is no homework questions associate with this, all I need is trying to prove there is relationship between E(Π(Π-E(Π))) and var(Π), and not nesserary equal but other relationship like exponential relationship. anybody can help
 

FAQ: Try find relationship between E(Π(Π-E(Π))) and var(Π)

What is the significance of E(Π(Π-E(Π))) and var(Π) in a scientific context?

E(Π(Π-E(Π))) and var(Π) are both calculations used in statistics and probability to measure the expected value and variability of a random variable. They are commonly used in scientific research to analyze data and make predictions.

How are E(Π(Π-E(Π))) and var(Π) related to each other?

E(Π(Π-E(Π))) is the expected value of the random variable Π(Π-E(Π)), while var(Π) is the variance of the random variable Π. They are related in that they both measure different aspects of the same random variable, but they are not directly dependent on each other.

Can E(Π(Π-E(Π))) and var(Π) be used to determine the relationship between two variables?

No, E(Π(Π-E(Π))) and var(Π) are used to measure the properties of a single random variable. They cannot be used to determine the relationship between two different variables.

How are E(Π(Π-E(Π))) and var(Π) calculated?

E(Π(Π-E(Π))) is calculated by multiplying the probability of each outcome by the value of the outcome, and then taking the sum of all these products. Var(Π) is calculated by taking the sum of the squared differences between each outcome and the expected value, multiplied by the probability of that outcome.

What is the practical application of analyzing E(Π(Π-E(Π))) and var(Π) in scientific research?

E(Π(Π-E(Π))) and var(Π) can help researchers understand the distribution of a random variable and make predictions about future outcomes. They are commonly used in fields such as economics, psychology, and biology to analyze data and draw conclusions about relationships and patterns.

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