Ononot — Let X and Y have a bivariate normal distribution with means

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Let $X$ and $Y$ have a bivariate normal distribution with means $\mu_X = 1, \mu_Y = 2$ , variances $\sigma_X^2 = 9, \sigma_Y^2 = 16$ , and correlation coefficient $\rho = 0.5$ . What is the conditional variance $Var(Y \mid X = 4)$ ?