Find the probability using the binary probability formula. Round to four decimal places, if necessary. n = 14, p = 0.56, x = 4
A) 0.0037
B) 0.0268
C) 0.6426
D) 0.0001

Question

Quizplus · Accepted Answer

The probability of getting exactly x successes in n trials with probability p is given by the binomial probability formula: P(X = x) = C(n, x) * p^x * (1-p)^(n-x). Here, C(14, 4) = 1001, so P(X = 4) = 1001 * (0.56)^4 * (0.44)^10 = 0.0268.

Find the Probability Using the Binary Probability Formula