If the probability of success on each trial of an experiment is 0.8, what is the probability of 6 successes in 10 independent trials? Round your answer to four decimal places.
A) Pr(6 Successes) = 0.0440
B) Pr(6 Successes) = 0.0220
C) Pr(6 Successes) = 0.1762
D) Pr(6 Successes) = 0.0881
E) Pr(6 Successes) = 0.3523

Question

If the probability of success on each trial of an experiment is 0.8, what is the probability of 6 successes in 10 independent trials? Round your answer to four decimal places. ​
A) Pr(6 Successes) = 0.0440
B) Pr(6 Successes) = 0.0220
C) Pr(6 Successes) = 0.1762
D) Pr(6 Successes) = 0.0881
E) Pr(6 Successes) = 0.3523

Quizplus · Accepted Answer

To solve this problem, we need to use the binomial probability formula: P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successes, p is the probability of success on each trial, and (n choose k) is the combination formula. Substituting, we get: 
P(6 successes in 10 trials) = (10 choose 6) * 0.8^6 * 0.2^4 = 210 * 0.262144 * 0.0016 = 0.0881
Rounding to four decimal places, we get Pr(6 Successes) = 0.0881. Therefore, the best choice is D.

If the Probability of Success on Each Trial of an Experiment