Suppose that \(\left(\begin{array}{l} X \\ Y \end{array}\right)\) has a bivariate density f = \(\frac{1}{2}\)f1 + \(\frac{1}{2}\)f2, where f1 and f2 are respectively, the densities of bivariate normal distributions N(μ1, Σ) and N(μ2, Σ), with μ1 = \(\)\(\left(\begin{array}{l} 1 \\ 1 \end{array}\right)\), μ2 = \(\left(\begin{array}{l} -1 \\ -1 \end{array}\right)\) and Σ = I2, the 2 × 2 identity matrix. Then which of the following is correct?