A Bernoulli trial (or binomial trial) is a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted.

Definition

  • is 1 if outcome is success, or 0 is failure. (Example: Flip a coin, 1=Heads, 0=Tails)

Properties

The sum of n independent Bernouilli random variables with the same parameter p is a binomial random variable

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