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The probability of finding one essential gene by chance in a sample of size 1 is 302/4639 ≈ 6.5%; but the binomial probability of finding eight or more essential genes in a sample of 19 is ∼10−5.
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For a binomial distribution, the probability of finding no infected individuals in the population is much smaller (0.1%) and the confidence interval for FIV prevalence is [0.01; 0.20].
Using a standard binomial model, the probability of finding at least 3 of 6 persons chosen at random to be lizard owners is 0.000002.
Using order statistics and binomial distribution we evaluated the probability of finding low-varying genes by chance.
A binomial test indicated that the probability of finding this proportion of grand-vocalization PSES that were greater than the baseline vocalizations was significantly greater than chance.
Using the binomial distribution to calculate the probability of finding 7 or more confirmed patterns of regulation out of 8 (assuming a 0.5 probability for success in each trial), we observed a successful validation with a p-value of 0.035.
Given these results and assuming a binomial distribution with equal probabilities for all patterns, the probability of finding 78 probes with an LLHL pattern by chance alone was below 1.6 × 10−28.
The probability of finding the nucleotide under consideration follows a binomial distribution with chance p and population size q.
Therefore, the probability of finding optimal paths out of a total of optimal paths is a binomial distribution given by (B.1).
from the binomial probability of a (h, n − h) split.
The binomial probability of three 95% confidence intervals excluding zero under the null hypothesis is 0.075.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com