Healthy Goods also sells pre-cooked meals. One of their most popular meals is organic free-range chicken wings. They sell a lot of these! Weekly demand for chicken wing boxes follows a normal distribution with a mean of 97 and a standard deviation of 32.

Q. If they currently keep a weekly inventory of 107 of chicken wing boxes, what is the probability to fulfill the weekly demand?

William points out that many people come to the store looking for the chicken wings and then buy additional products. Chicken wings drive demand for other products too! Therefore, they want to ensure a 95% probability to fulfill the weekly demand for chicken wing boxes. How many chicken wing boxes should they have in store every week to achieve this goal?

If this distribution is transformed to its standard unit normal form, what is the z-value to meet the demand with a 95% probability?