Final answer:
A binomial probability distribution shows the probability of x successes in n trials, with a fixed probability of success. The mean and standard deviation of a binomial distribution can be calculated using formulas involving n and p.
Step-by-step explanation:
A probability distribution showing the probability of x successes in n trials, where the probability of success does not change from trial to trial, is termed a binomial probability distribution. The binomial distribution arises from Bernoulli trials, which are a fixed number of independent trials with two possible outcomes: success or failure. The mean of the binomial distribution is given by the formula µ = np, and the standard deviation is given by the formula o = √npq.