For a randomly selected day, let X represent the difference between the number of items in stock and demand for a specific  product  your company sells When X is zero, the supply matches the demand. Negative and positive X values indicate under-stocked and overstocked days, respectively.  The pmf for X is: x -2 -1 0 1 2 p(x) .10 .15 .45 .10 .20 a)  Find the probability you are under-stocked on a given day b) Management wants supply to equal demand (exactly) on more than 50% of the days. Is your company meeting that challenge? Explain. c) Find the expected difference between the number of items in stock and the demand for the product.

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