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 Oct 21 awarded Notable Question Oct 10 comment What is the probability that the number of zeros of a binary sequence with length $m$ is at least $q$? With $x$ you mean $x'$? Oct 10 accepted What is the probability that the number of zeros of a binary sequence with length $m$ is at least $q$? Oct 10 comment What is the probability that the number of zeros of a binary sequence with length $m$ is at least $q$? Question 3: Is your s.d. calculation correct? It seems to be too low (I assume we miss an $x$ in the calculation. Oct 10 comment What is the probability that the number of zeros of a binary sequence with length $m$ is at least $q$? Another question: is there a reason that you use $x$ instead of $x'$ ? Oct 10 comment What is the probability that the number of zeros of a binary sequence with length $m$ is at least $q$? Thanks for your update. Actually in my problem we have $n'$ elements that don't have value 0 and $m'-n'$ values that do have value 0. But I guess that your answer is correct if we have $n'$ zeros and $m'-n'$ elements that dont have value 0 Oct 10 revised What is the probability that the number of zeros of a binary sequence with length $m$ is at least $q$? edited body Oct 10 comment What is the probability that the number of zeros of a binary sequence with length $m$ is at least $q$? I added the hexadecimal (actually my 'real' problem) part to my question in bold. What I want is to do operations on a file of $m'>1000$ hexadecimal values (where a hexidecimal value is treated as a unit). Oct 10 revised What is the probability that the number of zeros of a binary sequence with length $m$ is at least $q$? added 104 characters in body Oct 10 revised What is the probability that the number of zeros of a binary sequence with length $m$ is at least $q$? added 104 characters in body Oct 8 comment What is the probability that the number of zeros of a binary sequence with length $m$ is at least $q$? Can we just multiply all variables ($m,n,x,q$) by 4 if we actually have a sequence of hexadecimal values (as in 4 bits we can store a hexidecimal value)? Oct 8 comment What is the probability that the number of zeros of a binary sequence with length $m$ is at least $q$? Yes thanks! .. ... Oct 7 comment What is the probability that the number of zeros of a binary sequence with length $m$ is at least $q$? I think you made a small mistake with the symbols right? Oct 7 comment What is the probability that the number of zeros of a binary sequence with length $m$ is at least $q$? Wow, great creative approach. Very good. Thank you very much Oct 7 revised What is the probability that the number of zeros of a binary sequence with length $m$ is at least $q$? added 194 characters in body Oct 7 comment What is the probability that the number of zeros of a binary sequence with length $m$ is at least $q$? BTW If a mathematical approach is not available, I will also accept any answer that contains a complete java or matlab code where I just can plug in $m,n,x$ and $q$ with output $P$. Oct 7 revised What is the probability that the number of zeros of a binary sequence with length $m$ is at least $q$? deleted 37 characters in body Oct 7 comment What is the probability that the number of zeros of a binary sequence with length $m$ is at least $q$? @MichaelGrant: the second option. Randomly changing the value of an element means that the value could be changed or could remain the same with $p=1/2$ for both outcomes. Oct 7 revised What is the probability that the number of zeros of a binary sequence with length $m$ is at least $q$? added 179 characters in body Oct 7 revised What is the probability that the number of zeros of a binary sequence with length $m$ is at least $q$? added 236 characters in body