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

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 'p' and remains the same from trial to trial. The probability of failure 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.

Explanation / Answer

Solution :

The following statements are a characteristics of a binomial experiment ;

1 . The experiment consist 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 'p' and remains the same from trial to trial , The probability of failure 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 statements are characteristics of binomial experiment .

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