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Suppose you take a random non-empty subset of {1,2,3} (each equally likely). Then let X be...

Suppose you take a random non-empty subset of {1,2,3} (each equally likely). Then let X be the largest number in your subset and Y the smallest number.

a) What is the expected value of X + Y?

b) What is the variance of X?

c) Are these two random variables independent?

Math   Advanced-Math   
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