Bernoulli trial. Bernoulli Trial ~ a trial with 2 outcomes success or failure (arbitrary names) p denotes P (success) P (failure)= 1-p. A Binomial Experiment. A binomial experiment is a series of Bernoulli trials done to determine X ~ the number of successes.
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Remember that X is a random variable being the number of successes after n trials. p is the probability of success.
NOTE: this is another common way to write combinations.
You are welcome to use either form.
The short cut to the expected value of X in a binomial experiment is np
= x1P(X=x1)+ x2P(X=x2)+ x3P(X=x3)+…+ xnP(X=xn)