Assuming the binomial distribution is appropriate, if N = 12 and P = 0.60, the probability of getting exactly 11 P events is _________.
A) 0.0010
B) 0.0003
C) 0.0075
D) 0.0174

Question

Quizplus · Accepted Answer

The formula for the probability of getting exactly k successes in N trials with probability of success p is: P(k) = (N choose k) * p^k * (1-p)^(N-k), where (N choose k) = N!/[(N-k)!k!].
Substituting the given values, we get:
P(11) = (12 choose 11) * 0.60^11 * 0.40^1
P(11) = 12 * 0.60^11 * 0.40
P(11) = 0.0174 (rounded to four decimal places)
Therefore, the answer is D.

Assuming the Binomial Distribution Is Appropriate, If N = 12