Question

1. in binomial probability, what does p stand for?

a. total probability
b. probability of success on a single trial
c. part of the probability formula
d. probability of failure

Explanation:

In binomial probability, the formula is \(P(X = k)=C(n,k)\times p^{k}\times(1 - p)^{n - k}\), where \(n\) 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. Option a is incorrect as total probability in a binomial context isn't represented by \(p\) alone. Option c is too vague. Option d is wrong because the probability of failure is \(1 - p\).

Answer:

B. Probability of success on a single trial