The general store sells potato chips and has does so for a long time. Over the last four years, it has observed that its weekly demand for potato chips varies quite a bit from week to week, but does not follow any seasonal or predictable pattern. The volume of potato chips is much higher than beer, and the store estimates that weekly demand can be modeled as being normally distributed with a mean of 35 bags per week, and a standard deviation of 7.

For the next set of questions, we will assume that the store has a given amount of inventory at the start of a week, and has no opportunity to replenish this inventory during the week. In particular, for each of the questions, we'll assume that the store has 34 bags of inventory at the start of the week.

What is the expected number of bags that the store will sell?

What is the expected number of bags in inventory at the end of the week?

What is the expected unmet demand?