Question: Please show the step by step answer below, this is not assignment question. Example Suppose there are 4 factories which are ranked 1 to 4

Please show the step by step answer below, this is not assignment question.

Example Suppose there are 4 factories which are ranked 1 to 4 in quality of output. If a random sample of size 2 is taken, find the pmf and cdf for the pair of random variables (X, Y) if X is the sum of ranks in the sample and Y is the maximum of ranks in the sample. [Slide 333]

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