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 expect to sell if he had 1,765 customers. (1 point)
To predict how many orders of a breakfast sandwich and a cup of orange juice Mitch would sell, we first need to determine the probability of each combination:
Let's assume the following:
- Probability of ordering a breakfast sandwich = p1
- Probability of ordering a muffin = p2
- Probability of ordering orange juice = p3
- Probability of ordering milk = p4
Given the combinations of items:
1. Breakfast sandwich + Orange juice
2. Breakfast sandwich + Milk
3. Muffin + Orange juice
4. Muffin + Milk
Based on the information provided, we know that Mitch has kept track of the combinations of items sold during the first hour his shop is open. Since we are given the total number of customers (1,765), we can calculate the probability of each combination as follows:
Let's represent the combinations as follows:
- (b,o): Breakfast sandwich + Orange juice
- (b,m): Breakfast sandwich + Milk
- (m,o): Muffin + Orange juice
- (m,m): Muffin + Milk
From the information provided, we can determine the number of each combination sold during the first hour. Let's say:
- Number of (b,o) sold = n1
- Number of (b,m) sold = n2
- Number of (m,o) sold = n3
- Number of (m,m) sold = n4
Therefore, the probability of each combination can be calculated as:
- Probability of (b,o) = n1 / total customers
- Probability of (b,m) = n2 / total customers
- Probability of (m,o) = n3 / total customers
- Probability of (m,m) = n4 / total customers
Once we have the probabilities of each combination, we can then use them to predict how many orders of a breakfast sandwich and a cup of orange juice Mitch would expect to sell out of 1,765 customers.