Choosing 8 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green) one at a time with 18) replacement, keeping track of the number of red marbles chosen A) Procedure results in a binomial distribution B) Not binomial: the trials are not independent C) Not binomial: there are too many trials. D) Not binomial: there are more than two outcomes for each trial

Question

Yareli Joyce

Mathematics

28 November, 05:32

Choosing 8 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green) one at a time with 18) replacement, keeping track of the number of red marbles chosen A) Procedure results in a binomial distribution B) Not binomial: the trials are not independent C) Not binomial: there are too many trials. D) Not binomial: there are more than two outcomes for each trial

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Peterson · Answer 1

Answer: D) Not binomial: there are more than two outcomes for each trial.

Explanation:

Replacement is being done, so each trial is independent. However, the outcomes are values from this set {0,1,2,3,4,5,6,7,8} which represent the number of red marbles chosen. Since we do not have two outcomes, we do not have a binomial distribution. If instead you made the outcomes {red, not red}, then you would have two outcomes and it would be a binomial distribution.