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The phrase "a given probability of" is correct and usable in written English.
It can be used when discussing a specific probability that has been assigned or established in a particular context, such as statistics or risk assessment.
Example: "The experiment was designed to determine a given probability of success under various conditions."
Alternatives: "a specified probability of" or "an assigned probability of".
Exact(49)
Second, a study of the MP test provides the opportunity to analytically calculate its statistical properties in order to warrant a given probability of false-alarm.
These methods are based on first identifying extreme environmental conditions with a given probability of exceedance based on the relevant joint distribution function.
Therefore, a suitable geometry shape (triangle or square) maybe chosen to further enhance the overall stiffness at a given probability of survival.
Extreme-value methods have been applied successfully to meteorological measurements of wind speed to predict extreme events which have a given probability of exceedence.
In the recent years, methodologies have been developed that allow the direct determination of maximum spectral accelerations for specified values of the period of a single-degree-of-freedom system and for a given probability of exceedance.
We assess the storage capacity of a solar thermal plant needed to achieve a given probability of avoiding an unscheduled reduction in output throughout the year, due to the variability of the solar resource.
Similar(11)
Therefore, for a the given probability of false alarm, we are able to determine the threshold.
Every year, determine retirement horizon, asset allocation, and maximum withdrawal percentage for a given target probability of failure.
For a given VC, probabilities of its core and value are then combined to yield a final probability of activity.
If anyone still believes that P(A|B) = P(B|A) [probability of A given B = probability of B given A], remind them that the probability of being pregnant, given that the person is female, is ∼3%, while the probability of being female, given that they are pregnant, is considerably larger.
However, delivery of the large reward was sometimes omitted, according to a given level of probability (p = percentage of actual food delivery over total demands).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com