Which of the following statement(s) is(are) a characteristic (s) of a binomial e

Question

Which of the following statement(s) is(are) a characteristic (s) of a binomial experiment? 1. The experiment consists of 'n' identical trials. 2. Each trial results in one of two outcomes, 'success' or failure'. 3. The probability of success on a single trial is equal to q = (1 - p). 4. The trials are independent. 5. We are interested in 'x', the number of successes observed during the 'n' trials, for x = 0, 1, 2, ..., n. All of the above are characteristics of a binomial experiment. Only some of the above are characteristics of a binomial experiment. None of the above are characteristics of a binomial experiment.

Explanation / Answer

Answer :

All of the above are characteristics of a binomial experiment .

1.The experiment consists of n independent trials.

2.Each trial can have only two outcomes, these outcomes are called success or failure .

3.The probability of success on a single trial is equal for all trials, p. The probability of failure is then

equal to q = 1 p.

4.The outcomes of each trial must be independent of each other .

5.We are interested in X,the number of successes observed during n trials, for X = 0, 1, 2, . . . , n.

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