A large grocery store needs to decide on how many bottles of 2 liter Dr. Pepper to stock each week in the store. The store must decide how many...

 A large grocery store needs to decide on how many bottles of 2 liter Dr. Pepper to stock each week in the store. The store must decide how many bottles to stock each week. The weekly demand for 2 liter Dr. Pepper follows a Normal distribution with mean 550 bottles and a standard deviation of 26 bottles. The store desires that the probability that they do not run out of 2 liter bottles of Dr. Pepper in a week to be .995. How many bottles should they stock at the beginning of the week to have a .995 probability of not running out during the week?