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a. Two chips are drawn at random without replacement from a box that contains five chips numbered I through 5. If the sum of chips

a. Two chips are drawn at random without replacement from a box that contains five chips numbered I through 5. If the sum of chips drawn is even, the random variable X equals 5; if the sum of chips drawn is odd, then X = -3. Find the Expected value and variance of X.

b. What is inclusion-exclusion identity? Why is it necessary?

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