題組內容

6. Alice's Shop in Oxford, UK, is one of the most famous little shops in the world. It sells Alice in Wonderland themed gifts, souvenirs and memorabilia. One of the popular items is the Tea Party paper bookmark. The average of the Tea Party paper bookmark sold in a week is 2100 units. Supposed the weekly demand is approximately normally distributed, with a standard deviation of 200 units. The manager wants to limit the probability of being out of stock of the Tea Party paper bookmark. Please help to solve his problems below. You need to show your calculations. Remember to use four decimal places.

d. If the standard deviation of weekly demand for the toy increases from 200 units to 350 units, how many more Tea Party paper bookmarks would have to be stocked to ensure that the probability of weekly demand exceeding inventory is no more than \( 10\% \)? (5 points)