Final answer:
The mean of the binomial distribution is np(1-p).
Step-by-step explanation:
The statement “The mean of the binomial distribution is np(1-p)” is true for a binomial distribution with n independent trials and a probability of success p in a single trial.
The mean of a binomial distribution is given by the formula μ = np, where n is the number of trials and p is the probability of success. The formula np(1-p) represents the variance of the binomial distribution.
For example, if you have 100 independent trials and the probability of success is 0.6, the mean of the binomial distribution would be 100 * 0.6 = 60.