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where p is the probability of vs where P is the probability

Both phrases are correct, but they are used in slightly different contexts. The phrase 'where p is the probability of' is commonly used when specifying the probability of an event or outcome, while 'where p is the probability' is more general and can be used to introduce the concept of probability without specifying a particular event.

Last updated: March 17, 2024 • 594 views

where p is the probability of

This phrase is correct and commonly used in English.

This phrase is used to specify the probability of a particular event or outcome in a given context.

Examples:

where p is the probability of drawing a red card from a deck of cards.
where p is the probability of rain tomorrow.
where p is the probability of winning the game.

Show examples from the web [+]

... of x successes in n independ only-2-event (success or failure) trials where p is the probability of success on a trial and q is the probability of failure on the trial.
where p is the probability of success. The probability that it takes more than n trials to see the first success is. H. R commands: P(X I n) I dgeom(n — 1, p) and P (X > ...
where p is the probability of success. R command: ). ( n. XP = =dgeom(n – 1, p). Example 1: A quarterback completes 44% of his passes. We want to observe this.
... variables with the same probability of success. The expectation of a Bernoulli RV is rather easy: `E[X] = 1*p + 0*(p-1) = p`, where p is the probability of success.

Alternatives:

where p represents the probability of
where p denotes the probability of
where p stands for the probability of
where p signifies the probability of
where p indicates the probability of

where P is the probability

This phrase is correct and commonly used in English.

This phrase is more general and can be used to introduce the concept of probability without specifying a particular event or outcome.

Examples:

where p is the probability of an event occurring.
where p is the probability of success.
where p is the probability of failure.

Show examples from the web [+]

... of x successes in n independ only-2-event (success or failure) trials where p is the probability of success on a trial and q is the probability of failure on the trial.
where p is the probability mass function of X. Note that the subscripted notations GX and pX are often used to emphasize that these pertain to a particular ...
where p is the probability of success. R command: ). ( n. XP = =dgeom(n – 1, p). Example 1: A quarterback completes 44% of his passes. We want to observe this.
where p is the probability of success. The probability that it takes more than n trials to see the first success is. H. R commands: P(X I n) I dgeom(n — 1, p) and P (X > ...

Alternatives:

where p represents the probability
where p denotes the probability
where p stands for the probability
where p signifies the probability
where p indicates the probability

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