Question

in binomial probability, what does \p\ stand for?
a. probability of success on a single trial
b. total probability
c. probability of failure
d. part of the probability formula

Explanation:

In binomial probability, the formula is \(P(X = k)=C(n,k)\times p^{k}\times(1 - p)^{n - k}\). Here, \(n\) is the number of trials, \(k\) is the number of successes, \(C(n,k)=\frac{n!}{k!(n - k)!}\), and \(p\) specifically represents the probability of success on a single trial. The probability of failure is \(1 - p\), total probability in a binomial context is related to summing up probabilities for all possible values of \(k\) from \(0\) to \(n\), and while \(p\) is part of the formula, the more specific and standard definition is the probability of success on a single trial.

Answer:

A. Probability of success on a single trial