Question

what does the \k\ in the binomial formula represent?
a. probability of failure
b. probability of success
c. number of successes in n trials
d. total number of trials

Explanation:

The binomial formula is \(P(X = k)=C(n,k)\times p^{k}\times(1 - p)^{n - k}\). In this formula, \(n\) is the total number of trials, \(p\) is the probability of success, \(1-p\) is the probability of failure, and \(k\) represents the number of successes in \(n\) trials.

Answer:

C. Number of successes in n trials