Problem $20-10($Algo$)$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'spaper for $$0\mathrm{.}30$ a copy. You sell a copy of the San Pedro Times for $$1\mathrm{.}10.$ Daily demand is distributed normally with mean $=265$ andstandard deviation $=53.$ At the end of each morning, any leftover copies are worthless and they go to a recycle bin.a$.$ How many copies of the San Pedro Times should you buy each morning?Note: Use Excel's NORMSINV$)$ function to find the correct critical value for the given a$-$level. Round your z$-$value to $2$ decimal places and final answer to $2$ decimal places.HelpSave & ExitFinish updateSubmitCheck my workPrintReferencesb. Based on a$,$ what is the probability that you will run out of stock?Note: Round your answer to the nearest whole percent