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Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Choosing 5 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green) one at a time without replacement, keeping track of the number of red marbles chosen. Not binomial: the trials are not independent. Not binomial: there are too many trials. Procedure results in a binomial distribution. Not binomial: there are more than two outcomes for each trial. g

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Answer:

Not binomial: the trials are not independent.

Step-by-step explanation:

Binomial distribution:

In samples with replacement, as the probability has to be the same for each trial, that is, they are independent.

Hypergeometric distribution:

Samples without replacement, as the probabilities depends on the previous outcomes, that is, they are not independent.

In this question:

Marbles are chosen without replacement, which means that for each trial the probabilities of choosing a red marble are different, which means that the trials are not independent. So the answer is:

Not binomial: the trials are not independent.

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