Question

A store manager gathers demographic information from the store's customers. The following chart summarizes the age-related information they collected:

- Age: <20, Number of Customers: 53
- Age: 20-29, Number of Customers: 61
- Age: 30-39, Number of Customers: 67
- Age: 40-49, Number of Customers: 51
- Age: 50-59, Number of Customers: 72
- Age: ≥60, Number of Customers: 100

One customer is chosen at random for a prize giveaway. (Round answers to 4 decimal places.)

a. What is the probability that the customer is at least 40 but no older than 59?

b. What is the probability that the customer is either older than 60 or younger than 20?

c. What is the probability that the customer is at least 60?

Answer 1

The probability that the customer is at least 40 but no older than 59 is 0.304. The probability that the customer is either older than 60 or younger than 20 is 0.379. The probability that the customer is at least 60 is 0.248.

Step-by-step explanation:

a. To find the probability that the customer is at least 40 but no older than 59, we add the number of customers in the 40-49 and 50-59 age groups, and divide it by the total number of customers. So, the probability is (51 + 72) / (53 + 61 + 67 + 51 + 72 + 100) = 123 / 404 = 0.304

b. To find the probability that the customer is either older than 60 or younger than 20, we add the number of customers in the <20 and ≥60 age groups, and divide it by the total number of customers. So, the probability is (53 + 100) / (53 + 61 + 67 + 51 + 72 + 100) = 153 / 404 = 0.379

c. To find the probability that the customer is at least 60, we divide the number of customers in the ≥60 age group by the total number of customers. So, the probability is 100 / (53 + 61 + 67 + 51 + 72 + 100) = 100 / 404 = 0.248