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We roll a 12-sided die 5 times. Let X denote the number of '1's rolled and let Y denote the number of '2's. a) Compute

We roll a 12-sided die 5 times. LetXdenote the number of '1's rolled and letYdenote the number of '2's.

a) ComputeP{X= 2}.

b) Is there a name for the probability distribution ofX?

c) Find the probability that X=Y= 0.

d) True or false:XandYare independent random variables.

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