Assuming there is a black box which contains three balls which are totally same except for being labeled with different integer numbers 1,2,3. Assuming that you randomly draw a ball from this box twice with returning back, and you add the two numbers together. Here, we can define the number value X as the summation of these two number. Now we are interested in the expectation and variance of random variable X. We can calculate:
EX=
VAR(X)=
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