A Reciprocal Expectation

★ 7/10Extrema probability Cauchy-Schwarz inequality

Problem

Discrete random variables $X, Y$ satisfy $2 \leqslant X \leqslant 3$ and $XY = 1$ . Find the range of possible values of $E(X)E(Y)$ .

Answer

Solution

Difficulty	7/10
Topics	Extrema, probability, Cauchy-Schwarz, inequality

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