In a binomial experiment with and . Find
0.1896
0.1058
0.8942
0.1562
0.8413
To find the specified probabilities, we need to use the binomial probability formula:
P(X=k) = nCk * p^k * (1-p)^(n-k)
Where:
n = total number of trials
k = number of successful trials
p = probability of success on a single trial
(1-p) = probability of failure on a single trial
Given:
n = 5
p = 0.4
a) P(X=2) = 5C2 * (0.4)^2 * (0.6)^3 = 10 * 0.16 * 0.216 = 0.3456
So, the probability is not any of the given options.