In a binomial experiment with and . Find
0.6
0.55
0.65
0.45
0.5
To find the probability in a binomial experiment with p = 0.6 and q = 0.4, we can use the formula:
P(X=k) = (n choose k) * p^k * q^(n-k)
where n is the number of trials, k is the number of successes, p is the probability of success, q is the probability of failure, and (n choose k) is the number of combinations of n things taken k at a time.
Let's calculate the probability for k = 3:
P(X=3) = (5 choose 3) * 0.6^3 * 0.4^(5-3)
= (5!/3!(5-3)!) * 0.6^3 * 0.4^2
= (10) * 0.6^3 * 0.4^2
= 0.3456
So, the probability of getting exactly 3 successes in 5 trials with p = 0.6 and q = 0.4 is 0.3456.