Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p
$n = 15 , p = 0.4 , P ( 12 )$
A) $0.0000$
B) $0.4000$
C) $0.0016$
D) $0.0634$

Question

Quizplus · Accepted Answer

The probability of exactly 12 successes in 15 trials for a binomial experiment, where the success probability is 0.4, can be calculated using the binomial probability formula: $P(X = k) = \binom{n}{k} p^k (1-p)^{n-k}$. Here, $n = 15$, $k = 12$, and $p = 0.4$, so $P(12) = \binom{15}{12} (0.4)^{12} (0.6)^{3}$. Calculating this gives approximately 0.0016.

Determine the Indicated Probability for a Binomial Experiment with the Given