May 1st, 2011 at 2:34:24 AM
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Hello to everyone. I want to find a solution to the following general problem:
Given a random event has a probability of 1/n, how many trials are required so that the actual frequency of the event to be 1/n +/-ERROR.
Let's say EROR to be 5%. I know that in n trials the probability of occuring at least once is 1-1/e, but this doesn't help me.
Thanks,
Andrei
Given a random event has a probability of 1/n, how many trials are required so that the actual frequency of the event to be 1/n +/-ERROR.
Let's say EROR to be 5%. I know that in n trials the probability of occuring at least once is 1-1/e, but this doesn't help me.
Thanks,
Andrei
May 1st, 2011 at 2:44:30 AM
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Quote: andreic555Hello to everyone. I want to find a solution to the following general problem:
Given a random event has a probability of 1/n, how many trials are required so that the actual frequency of the event to be 1/n +/-ERROR.
Let's say EROR to be 5%. I know that in n trials the probability of occuring at least once is 1-1/e, but this doesn't help me.
You can only calculate the number of trials required for the actual frequency to be 1/n +/- ERROR with certain probability (which is always <100% unless number of trials is infinite), so you could ask for example:
Given an event with probability of 1/n, how many trials are required for the actual frequency to be 1/n +/- 5% with 95% probability?
May 1st, 2011 at 5:28:41 AM
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You reformulated the question well. This is what I want to calculate. But i don't know how.
Of course the probability of the frequency to reach the desired interval is always less than 1.
Thanks.
Of course the probability of the frequency to reach the desired interval is always less than 1.
Thanks.