In the following table, X represents the number of siblings for the 29 students in a first-grade class.
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How would the variance and standard deviation change if the number of siblings, X, doubled in each case but the probabilities, p(x), values stayed the same?
A. They wouldn’t change.
B. Both would be twice as large.
C. Both would be four times as large.
D. The variance would be four times as large, and the standard deviation would be twice as large.
E. Impossible to tell without further information.