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Q16Section I (Objective (Q1–Q80))16 of 80

Probability — covariance from a joint pmf table

The following is the joint probability mass function of two random variables XX and YY:

X\Y01203/289/283/28 13/143/140 21/2800\begin{array}{c|ccc} X \backslash Y & 0 & 1 & 2 \\\hline 0 & 3/28 & 9/28 & 3/28 \ 1 & 3/14 & 3/14 & 0 \ 2 & 1/28 & 0 & 0 \end{array}

Which of the following statements is/are correct? I. Cov⁡(X,Y)=3/4\operatorname{Cov}(X, Y) = 3/4 II. E(X)=E(Y)\mathbb{E}(X) = \mathbb{E}(Y) Select the answer using the code given below:

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