Two fair dice are rolled. Let X be the random variable: if the values in the dice are d, and dz, then X = max (d,,d) For example: • if when rolling the dice, you get 4 and 3, X would be 4 . it when rolling the dice, you get 2 and 2, X would be 2. a. Find the distribution of X. That is, for each possible value of X, say what is the probability X would get that value. b. What is E(X)? That is, find the expected value of X. Explain your answers.

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