A medium-sized store in New Orleans is run by Cecilia, who finds that the number of customers that come into the store each day has a normal distribution with a mean of 342 people and a standard deviation of 52 people. Cecilia carefully explores days that are in the top 15% of total daily customers (so the highest 15% of all the daily customer totals are explored) What daily customers total would cause a given day to be explored more by Cecilia?

Solve this problem by hand showing all steps. Do not use StatCrunch. Use the Standard Normal Table [LINK] to find all probabilities or unknown values.