In a binomial experiment with and . Find
0.55
0.5
0.45
0.6
0.65
To find the probability of success in a binomial experiment with n=12 and p=0.45, we can use the formula for the binomial distribution:
P(X=k) = (n choose k) * p^k * (1-p)^(n-k)
Where n = 12, p = 0.45, and k is the number of successes we want to find the probability of.
Let's find the probability of getting exactly 6 successes:
P(X=6) = (12 choose 6) * 0.45^6 * (1-0.45)^(12-6)
P(X=6) = (12! / (6! * (12-6)!)) * 0.45^6 * 0.55^6
P(X=6) = (924) * 0.45^6 * 0.55^6
Using a calculator, we find:
P(X=6) ≈ 0.189
Therefore, the probability of getting exactly 6 successes in this binomial experiment with n=12 and p=0.45 is approximately 0.189.