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Let x represent the number of successes and n the number of trials. Assume the probability of success is p. The Binomial Probability Formula is

Let x represent the number of successes and n the number of trials. Assume the probability of success is p.

The Binomial Probability Formula is given by

P(x)=C(n,x)px(1p)nx

which allows us to compute the probability of x successes from n trials.

Among the three assumptions of the Binomial Experiment,which assumption is requiredfor computing the probability of x success and n-x failures, i.e. px(1p)nx of the formula ? You may select more than one assumption. (Hint: The Binomial Experiment assumes that

1.The same experiment is repeated a fixed number of times. Each repetition is called a trial.

2.For each trial, there are only two outcomes, success and failure.

3.The repeated trials are independent, so that the probability of success and failure remains the same for each trial.)

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