I randomly pick two integers from 1 to n without replacement (n a positive integer). Let...

Question

Question

I randomly pick two integers from 1 to n without replacement (n a positive integer). Let X be the maximum of the two numbers.

(a) Find the probability mass function of X.

(b) Find E(X) and simplify as much as possible (use formulas for the sum and sum of squares of the first n integers which you can find online).

Answer 1

Answer #1

Answer 2

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