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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

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uniform probability distribution
binomial probability distribution
hypergeometric probability distribution
normal probability distribution

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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.

User Hongxu Jin
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Uniform probability distribution.
User Hackbod
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