Question: A random vector is generated by rolling a die and observing the outcome. The components of the random vector are determined by successive rolls of

A random vector is generated by rolling a die and observing the outcome. The components of the random vector are determined by successive rolls of the die. If the die is rolled two times:
(a) List the possible realizations of the random vector;
(b) Determine the probability of each realization;
(c) Determine the mean vector;
(d) Determine the covariance matrix.

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