If p is the probability of success and q is the probability of failure, then the probability of X = 5 for 8 Bernoulli trials is:
A) $ 56 p^{5} $

B) $ 56 p^{5} q^{3} $

C) $ p^{5} q^{3} $

D) $ 126 p^{5} q^{3} $

Question

If p is the probability of success and q is the probability of failure, then the probability of X = 5 for 8 Bernoulli trials is: 
A) $ 56 p^{5} $

B) $ 56 p^{5} q^{3} $

C) $ p^{5} q^{3} $

D) $ 126 p^{5} q^{3} $

Quizplus · Accepted Answer

The probability of getting exactly X successes in n Bernoulli trials is given by the binomial probability formula: $ P(X = k) = \binom{n}{k} p^k q^{n-k} $. For X = 5 successes in 8 trials, it is $ \binom{8}{5} p^5 q^3 = 56 p^5 q^3 $.

If P Is the Probability of Success and Q Is 56p5 56 p^{5} 56p5

If P Is the Probability of Success and Q Is $56 p^{5}$