Which of the following is a binomial experiment? a) flipping a coin until it comes up tails b) flipping a coin until 8 heads are recorded c) flipping a coin 10 times and recording if it comes up heads d) flipping a coin by 10 different people and recording the age of each person

Question

Mathematics

Dawn

1 October, 01:41

Which of the following is a binomial experiment? a) flipping a coin until it comes up tails b) flipping a coin until 8 heads are recorded c) flipping a coin 10 times and recording if it comes up heads d) flipping a coin by 10 different people and recording the age of each person

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Hugh Benjamin · Answer 1

A binomial experiment must have all of the following:

a) A fixed number of trials.

b) The result of each trial is not affected by the results of the other trials (independence).

c) The probability of a 'success' is the same for each trial.

d) Each trial has only two possible outcomes, which are usually called 'success' and 'failure'.

Using the above criteria, the only choice of answer that qualifies as a binomial experiment is c) "flipping a coin 10 times and recording if it comes up heads."