Q13Section I (Objective (Q1–Q80))13 of 80

Distribution Theory — conditional moments of bivariate normal

Let $(X, Y)$ follow bivariate normal distribution with $\mathbb{E}(X) = \mathbb{E}(Y) = 2$ , $V(X) = 100$ , $V(Y) = 144$ and $\operatorname{Corr}(X, Y) = 0\cdot 5$ . Which of the following statements is/are correct? I. $\mathbb{E}(Y \mid X = x) = 3\cdot 2 + 0\cdot 6x$ II. $V(Y \mid X = x) = 108$ Select the answer using the code given below:

Pick an option to check your answer. In a mock test a wrong answer here costs 0.83 mark.

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