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Consider an experiment of rolling two six-sided dice

Math

Consider an experiment of rolling two six-sided dice. Let X be the random variable representing the absolute value of the difference between the two values given by each die is equal to two. i.e., X=[1-3]; i and j are the values from each die.

a) Construct the probability distribution of X.

b) Calculate the expected value of X.

c) Construct the cumulative distribution of X in graphical form.

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