Compute the probability of X successes.
N = 4, X = 2, p = 0.55
A) 0.368
B) 0.632
C) 0.500
D) 0.55

Name: Compute the probability of X successes. N = 4, X = 2, p = 0.55 A) 0.368 B) 0.632 C) 0.500 D) 0.55
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Question

Quizplus · Accepted Answer

Using the binomial distribution formula, the probability of getting exactly 2 successes in 4 trials with a probability of success of 0.55 can be computed as:
P(X=2) = (4 choose 2)(0.55)^2(1-0.55)^2
P(X=2) = (6)(0.3025)(0.2025)
P(X=2) = 0.3678, which is closest to 0.368. Therefore, the best choice is A.

Compute the Probability of X Successes