Here Is an Assignment of Probabilities to the Face That

question 20

Multiple Choice

Here is an assignment of probabilities to the face that comes up when rolling a die once:

Which of the following is true?

• A) This isn't a legitimate assignment of probability, because every face of a die must have probability 1/6.
• B) This isn't a legitimate assignment of probability, because it gives probability zero to rolling a 3 or a 5.
• C) This isn't a legitimate assignment of probability, because the probabilities do not add to exactly 1.
• D) This isn't a legitimate assignment of probability, because we must actually roll the die many times to learn the true probabilities.
• E) This is a legitimate assignment of probability.

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Definitions:

Population Means

The average value of a particular characteristic across the entire population studied.

F Statistic

A ratio used in an analysis of variance (ANOVA) test, indicating the variance between group means relative to the variance within the groups.

Group Means

The average values of different groups or categories, often used in statistical analysis to compare and contrast group performances or characteristics.

Degrees of Freedom

The number of values in a statistical calculation that are free to vary when estimating statistical parameters, crucial for assessing the precision and reliability of statistical tests.