Mitch owns a coffee shop and keeps track of how many orders he fills and in what combination of items they are during the first hour his shop is open. Combinations include either a breakfast sandwich or muffin and either orange juice or milk. Mitch needs to predict how many orders of a breakfast sandwich and a cup of orange juice he would except to sell if he had 1,765 customers

1 answer

Assuming that the choices are independent of each other, we can calculate the probability of a customer ordering a breakfast sandwich and a cup of orange juice.

During the first hour, Mitch kept track of the following orders:

- 300 customers ordered a breakfast sandwich with orange juice
- 350 customers ordered a breakfast sandwich with milk
- 450 customers ordered a muffin with orange juice
- 665 customers ordered a muffin with milk

To calculate the probability of a customer ordering a breakfast sandwich and a cup of orange juice, we can add the total number of customers who ordered a breakfast sandwich with orange juice and divide it by the total number of customers:

P(ordering a breakfast sandwich and orange juice) = (300 / 1765) ≈ 0.1698

Therefore, given 1,765 customers, we would expect Mitch to sell approximately 0.1698 * 1,765 = 299.57 orders of a breakfast sandwich and a cup of orange juice. So, he would expect to sell about 300 orders of a breakfast sandwich and a cup of orange juice.