MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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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