Respuesta :
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.
In the given scenario, the replacements have been done, each experiment would be separate. The outcomes, on either hand, are values from in this set {0,1,2,3,4,5,6,7,8} that signify the number of red marbles selected.
- It may not have a binomial distribution since we will not have two results.
- It modifies the outcomes to red, not red, and would've had two outcomes with a binomial.
- By selecting 8 marble from such a box of 40 marbles (20 purple, 12 red, and 8 green) a few at a period with 18 replacements.
- It's used to keep track of how many red marbles are selected, that is Non-binomial: each test has much more than two results.
Therefore, the final answer is "Option D".
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