In: Statistics and Probability
A grocery store is trying to predict how many packages of toilet paper rolls will be purchased over the next week. They know from their records that each customer has a 60% chance of buying 0 packages, a 30% chance of buying 1 package, an 8% chance of buying 2, and a 2% chance of buying 25. They expect about 150 customers per day.
What is the probability that the average number of packages per customer is greater than 1 over the course of a week? Assume the store is open 7 days a week.
Please calculate the standard error.