How to interpret this probability

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In summary, the conversation discusses finding the average or statistical mean of a random variable that can assume integer values from 1 to N, each with equal probability. The answer to this question is E(X) = (1+N)/2. The conversation also clarifies that in this scenario, the mean of each number will be the same as the number itself.
  • #1
EngWiPy
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Hi,

If we have N numbers, say 1,2,3,...,N which are all equally probable, then how to find E[n], for n=1,2,...,N? I mean the statistical average of a number is the same number, right?

Thanks in advance
 
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  • #2
As I understand your question, you are looking for the average of a a random variable (X) which can assume integer values from 1 to N, each with probability 1/N. The answer to that questions is E(X) = (1+N)/2.

If I misunderstood your question, please clarify.
 
  • #3
mathman said:
As I understand your question, you are looking for the average of a a random variable (X) which can assume integer values from 1 to N, each with probability 1/N. The answer to that questions is E(X) = (1+N)/2.

If I misunderstood your question, please clarify.

No, I need the mean of each number.
 
  • #4
you question doesn't make a heap of sense, trivially the mean of a constant c, is the same as the constant E[c] = c
 
  • #5
Yes right. mathman was right, and I was wrong. n is a random variable that takes on discrete values of equal probabilities.

Regards
 

FAQ: How to interpret this probability

What does the probability value represent?

The probability value represents the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to occur.

How do you interpret a probability of 0.5?

A probability of 0.5 means that there is an equal chance of the event occurring or not occurring. It is often referred to as a 50/50 chance or a 50% chance.

Can a probability be greater than 1?

No, a probability cannot be greater than 1. This would imply that the event is certain to occur, which is not possible. If a probability is greater than 1, it is likely that an error was made in the calculation.

How does sample size affect the interpretation of probability?

The larger the sample size, the more accurate the probability estimate will be. With a larger sample size, the probability value is more likely to reflect the true likelihood of the event occurring.

What is the difference between subjective and objective probability?

Subjective probability is based on personal beliefs and opinions, while objective probability is based on empirical evidence and data. Subjective probability is often used in situations where there is limited data available, whereas objective probability is used when there is a large amount of data to support the calculation.

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