Question 1177519: A store gathers some demographic information from their customers. The following chart summarizes the age-related information they collected:
Age Number of Customers
Less than 20 59
20-30 70
30-40 78
40-50 77
50-60 94
60 or more 64
One customer is chosen at random for a prize giveaway.
What is the probability that the customer is at least 20 but no older than 50?
What is the probability that the customer is either older than 60 or younger than 40?
What is the probability that the customer is at least 50?
Enter your answers as either decimals or fractions, not as percents.
Answer by CPhill(1959) (Show Source):
You can put this solution on YOUR website! First, let's find the total number of customers: 59 + 70 + 78 + 77 + 94 + 64 = 442
**1. Probability of customer being at least 20 but no older than 50:**
* This includes the age groups: 20-30, 30-40, and 40-50.
* Number of customers in these groups: 70 + 78 + 77 = 225
* Probability = 225/442
**2. Probability of customer being either older than 60 or younger than 40:**
* This includes the age groups: Less than 20, 20-30, 30-40, and 60 or more.
* Number of customers in these groups: 59 + 70 + 78 + 64 = 271
* Probability = 271/442
**3. Probability of customer being at least 50:**
* This includes the age groups: 50-60 and 60 or more.
* Number of customers in these groups: 94 + 64 = 158
* Probability = 158/442
**Answers:**
* **At least 20 but no older than 50:** 225/442
* **Older than 60 or younger than 40:** 271/442
* **At least 50:** 158/442
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