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Assuming that the errors are independent from each other and uniformly distributed in GF (q)∖{0}, the variable X follows a binomial distribution with parameters N i (l) and p e. Thereby, the probability P 1(s) is determined by: P_{1}(s)={N_{i}(l) choose s} cdot (p_{e})^{s} cdot (1-p_{e})^{N_{i}(l -s} (37).
Optimal allocation designs for the allocation proportion are obtained in the present paper for a two-treatment situation, in a completely correlated setup where the sum of the responses no longer follows a binomial distribution.
Excellent agreements in branching dispersities between calculation with branching moments and prediction with assumption of binomial distribution for a tubular reactor and CSTR processes show that the branching distribution follows a binomial distribution for both processes.
Given a pair of aligned genomes i and j, the number of SNPs xij observed between i and j within a region of length l follows a binomial distribution B l, pij), where pij is the expected proportion of recombination-free nucleotide differences between taxa i and j.
Notice that |S| follows a binomial distribution.
Consider a random variable U that follows a Binomial distribution with parameters n=2 and (p=frac {1}{2}).
Under the hypothesis (boldsymbol{mathcal {H}}_{1}) : the variable B l (i) follows a binomial distribution (mathcal {B}(M,1/q)).
R i follows a binomial distribution with the mean and variance indicated below: mu(R_{i}) = N * bp * n * p_{i} - (e_{i} + m_{i} r_{i})*n.
It is obvious that, on the rth channel, the probability that m packets are overlapped within one transmission slot follows a binomial distribution.
Firstly, in the simplest BEC channel, the probability of n output symbols successfully received at the decoder follows a binomial distribution, i.e., text{Pr}_{1}(n)= {lchoose n} 1-p)^{n} 1-pl-n)}, (11).
K1 is a random variable which follows a binomial distribution, with parameters N and P, where N is the number of sensed channels and P is the probability that a channel will be sensed by the cyclostationary detector.
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