In a binomial experiment the probability of success is 0.06. What is the probability of two successes in seven trials?
A)0.0036
B)0.0600
C)0.0555
D)0.2800

Question

Quizplus · Accepted Answer

We use the formula for binomial probability:
P(X=k) = (n choose k) * p^k * (1-p)^(n-k)
where n is the number of trials, p is the probability of success, and k is the number of successes we want to find.

In this case, n=7, p=0.06, and k=2. Plugging in the values, we get:
P(X=2) = (7 choose 2) * 0.06^2 * 0.94^5
P(X=2) = 21 * 0.0036 * 0.7351
P(X=2) = 0.0555

Therefore, the probability of two successes in seven trials is 0.0555 or choice C.

In a Binomial Experiment the Probability of Success Is 0