Question: Let Y U(A,B), that is, Y has the uniform in [A,B] distribution (see Example 3.2-5). Show that Var(Y) = (B A)2/12.

Let Y ∼ U(A,B), that is, Y has the uniform in [A,B] distribution (see Example 3.2-5). Show that Var(Y) = (B − A)2/12.

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