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Eplain without calculation why varxp must increase as p

Let X_p represent the number appearing on one roll of a shape which lands flat (1 or 6) with probability p, as described in Example 1.3.3. Explain without calculation why Vαr(X_p) must increase as p increases. Then compute Vαr(X_p) and check that it increases as p increases.

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Basic Statistics: Eplain without calculation why varxp must increase as p

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