Binomial trials
Definition
Binomial trials are a series of experiments where each trial has two possible outcomes: success or failure. They are characterized by a fixed number of trials, independent events, and constant probability of success.
5 Must Know Facts For Your Next Test
- Each binomial trial must have exactly two possible outcomes.
- The probability of success remains constant across all trials.
- The trials are independent; the outcome of one does not affect the others.
- A binomial distribution is used to model the number of successes in a fixed number of binomial trials.
- The mean (expected value) for a binomial distribution is calculated as n * p, where n is the number of trials and p is the probability of success.
Review Questions
- What are the key characteristics that define a binomial trial?
- How do you calculate the mean (expected value) in a binomial distribution?
- Why must the probability of success remain constant in binomial trials?
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Related terms
Binomial Distribution: A probability distribution that summarizes the likelihood that a variable will take one of two independent values under a given set of parameters.
Independent Events: Two or more events that do not influence each other’s outcomes.
Probability Mass Function (PMF): A function that gives the probability that a discrete random variable is exactly equal to some value.
