Answer :
Final Answer:
The chi-square distribution cannot have a negative value, so option D (-2.45) cannot occur.
Explanation:
The chi-square distribution is a probability distribution that takes on non-negative values. It is defined for positive degrees of freedom (typically denoted by ν), and its probability density function is non-negative for all non-negative values of the random variable. In other words, it cannot produce negative values.
Options A (100.0), B (38.4), and C (0.61) are all valid values for the chi-square distribution because they are non-negative. However, option D (-2.45) is a negative value, and such values are not possible for the chi-square distribution.
So, the correct answer is option D (-2.45) because it violates the fundamental property of the chi-square distribution of being non-negative.
Learn more about chi-square distribution here:
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