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We have a Bernoulli distribution which outputs 1 with probability C and outputs 0 with probability 1-C. C is unknown.

Now we would like to generate a new Bernoulli distribution that outputs 1 with probability X. Without using random numbers, how can we do that using the previous Bernoulli distribution?

Thanks!

HoiM
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  • The question is not completely clear. I assume you mean Bernoulli process, rather than distribution? – Moss Murderer Jan 29 '19 at 01:57
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    Yes You can assume it is a Bernoulli process. – HoiM Jan 29 '19 at 20:59
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    This seems related: https://stats.stackexchange.com/q/50295/77222 – Jarle Tufto Jan 29 '19 at 21:09
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    also https://stats.stackexchange.com/questions/354678/brain-teaser-how-to-generate-7-integers-with-equal-probability-using-a-biased-c – Sextus Empiricus Jan 29 '19 at 23:00

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