Compound Events Quick Check

Question

5 of 55 of 5 Items

Question
Use the table to answer the question.

Items Number of Orders
Breakfast Sandwich and Orange Juice 13
Muffins and Orange Juice 27
Breakfast Sandwich and Milk 23
Muffins and Milk 16
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)
Responses

291 orders
291 orders

79 orders
79 orders

604 orders
604 orders

358 orders

Answer 1

To find the expected number of orders of a breakfast sandwich and a cup of orange juice, we first need to find the total number of orders of a breakfast sandwich and a cup of orange juice from the table. Adding the number of orders for "Breakfast Sandwich and Orange Juice" (13) and "Breakfast Sandwich and Milk" (23) together, we get 13 + 23 = 36.

Next, we need to find the proportion of orders that include a breakfast sandwich and a cup of orange juice from the total number of orders (1765).

To find this proportion, we divide the number of orders of a breakfast sandwich and orange juice (36) by the total number of customers (1765) and then multiply by 100 to get a percentage.

(36 / 1765) * 100 ≈ 2.04%

Finally, to find the expected number of orders of a breakfast sandwich and orange juice with 1765 customers, we multiply the percentage by the total number of customers.

(2.04/100) * 1765 = 36

Therefore, the expected number of orders of a breakfast sandwich and a cup of orange juice with 1765 customers is 36 orders.

The correct response is:

291 orders