You are a newsvendor selling the San Pedro Times every morning. Before you get to work, you go to the printer and buy the day$$s paper for $$0\mathrm{.}30$ a copy. You sell a copy of the San Pedro Times for $$1\mathrm{.}25.$ Daily demand is distributed normally with mean $=275$ and standard deviation $=55.$ At the end of each morning, any leftover copies are worthless and they go to a recycle bin.

How many copies of the San Pedro Times should you buy each morning?

Note: Use Excel's NORM.S$.$INV$()$ function to find the z value. Round your z value and service level to $2$ decimal places and final answer to the nearest whole number.

Based on a$,$ what is the probability that you will run out of stock?