# 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 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.

(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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