If X has a binomial distribution with n = 4 and p = 0.3, then P(X > 1) = ?
0.3483
0.4568
0.4623
0.4153
To find P(X > 1), we need to calculate P(X = 2) + P(X = 3) + P(X = 4).
Using the binomial probability formula: P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
P(X = 2) = (4 choose 2) * 0.3^2 * 0.7^2 = 6 * 0.09 * 0.49 = 0.2646
P(X = 3) = (4 choose 3) * 0.3^3 * 0.7^1 = 4 * 0.027 * 0.7 = 0.0756
P(X = 4) = (4 choose 4) * 0.3^4 * 0.7^0 = 1 * 0.0081 * 1 = 0.0081
Adding them all up: 0.2646 + 0.0756 + 0.0081 = 0.3483
Therefore, P(X > 1) = 0.3483
So the answer is 0.3483.