If X has a binomial distribution with n = 4 and p = 0.3, then P(X > 1) = ?
To find P(X > 1), we need to find the probability that X takes on a value greater than 1.
P(X > 1) is the complement of P(X ≤ 1), which includes the probabilities of X taking on the values 0 and 1.
P(X = 0) = (4 choose 0) * (0.3)^0 * (0.7)^4 = 0.2401
P(X = 1) = (4 choose 1) * (0.3)^1 * (0.7)^3 = 0.4116
Therefore, P(X ≤ 1) = P(X = 0) + P(X = 1) = 0.2401 + 0.4116 = 0.6517
P(X > 1) = 1 - P(X ≤ 1) = 1 - 0.6517 = 0.3483
So P(X > 1) = 0.3483.