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Probability values:

a. Are never negative
b. Are considered unusual if they are less than 0.05
c. Can only be expressed as numbers between 0 and 1
d. All of the above

1 Answer

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Final answer:

The correct choice regarding the nature of probability values is d. All of the above, as probability values can never be negative, values under 0.05 are unusual in statistics, and they must be expressed within the range of 0 to 1, inclusive.

Step-by-step explanation:

The question is asking about the nature of probability values. In response, the correct choice is d. All of the above. That is because:

  • Probability values are never negative. They range from 0 to 1, where 0 indicates an impossibility and 1 indicates certainty.
  • Probabilities are indeed considered unusual if they are less than 0.05, particularly in statistics where this value often represents a significance level in hypothesis testing.
  • Probabilities can only be expressed as numbers between 0 and 1, inclusive. This is their theoretical range and any value outside of this range would be invalid.

By expressing probabilities within this range, they effectively communicate the likelihood of an event occurring. When probabilities sum to more than 1, it indicates an error, as illustrated by the mentioned sum of 1.10 which is not possible because it exceeds the total possible probability.

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