In a binomial experiment, the probability of success is .06. What is the probability of two successes in seven trials?
A) .0036
B) .06
C) .0554
D) .28

Question

Quizplus · Accepted Answer

Using the binomial probability formula, we can find the probability of exactly 2 successes in 7 trials as follows:

P(2 successes) = (7 choose 2) * (0.06)^2 * (0.94)^5
P(2 successes) = 21 * 0.0036 * 0.734
P(2 successes) = 0.0554

Therefore, the probability of two successes in seven trials is 0.0554, which corresponds to choice C.

In a Binomial Experiment, the Probability of Success Is