In a binomial experiment with and . Find
0.55
0.5
0.45
0.6
0.65
To calculate the probability of success for a binomial experiment, you can use the formula:
P(success) = p = number of successes / total number of trials
In this case, we are given that p = 0.6 (probability of success) and q = 0.4 (probability of failure).
Therefore, the probabilities for the given values are:
P(X=0) = (3 choose 0) * (0.6)^0 * (0.4)^3 = 1 * 1 * (0.4)^3 = 0.064
P(X=1) = (3 choose 1) * (0.6)^1 * (0.4)^2 = 3 * 0.6 * (0.16) = 0.288
P(X=2) = (3 choose 2) * (0.6)^2 * (0.4)^1 = 3 * 0.36 * 0.4 = 0.432
P(X=3) = (3 choose 3) * (0.6)^3 * (0.4)^0 = 1 * 0.216 * 1 = 0.216
Therefore, the probabilities for the given values are as follows:
P(X=0) = 0.064
P(X=1) = 0.288
P(X=2) = 0.432
P(X=3) = 0.216