A restaurant stocks 600 hamburgers and 150 chicken sandwiches for a given day. Assume that the demands for hamburgers and chicken sandwiches are probabilistically independent. Why is the independence assumption in this scenario probably not realistic? Using a more realistic assumption, do you think the probability would increase or decrease?
It might not be realistic to assume independence. If hamburgers and chicken sandwiches are "substitute" products; that is, a customer will order one if there is none of the other, then the two demands would be positively correlated. Still, it is not clear that this would have a large effect on the probability in Question 132.
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