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A store gathers some demographic information from their customers. The following chart summarizes the age-related information they collected:

Age Number of Customers
91
20-30 79
30-40 86
40-50 63
50-60 92
53


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 40?
Incorrect

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

What is the probability that the customer is at least 60?
Incorrect

Enter your answers as either decimals or fractions, not as percents.

User Moxor
by
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1 Answer

4 votes

Answer:

To calculate the probabilities, we need to determine the total number of customers in the specified age ranges.

For the first question, the age range "20-40" includes the age categories 20-30 and 30-40. So, the total number of customers in that range would be 79 + 86 = 165.

For the second question, we need to determine the total number of customers outside the age range of 20-60. From the given information, we can see that there is only one customer who is 91 years old and one customer who is 53 years old. Therefore, the total number of customers outside the age range of 20-60 would be 1 + 1 = 2.

For the third question, we need to determine the total number of customers who are at least 60 years old. From the given information, we can see that there is only one customer who is 91 years old, one customer who is 53 years old, and one customer who is 50-60 years old (we don't know the exact age within that range). Therefore, the total number of customers who are at least 60 years old would be 1 + 1 + 92 = 94.

Now, we can calculate the probabilities:

1. Probability that the customer is at least 20 but no older than 40:

Number of customers in the age range 20-40 = 165

Total number of customers = 91 + 165 + 86 + 63 + 92 + 53 = 550

Probability = 165 / 550 = 0.3

2. Probability that the customer is either older than 60 or younger than 20:

Number of customers outside the age range 20-60 = 2

Total number of customers = 550

Probability = 2 / 550 = 1/275

3. Probability that the customer is at least 60:

Number of customers who are at least 60 = 94

Total number of customers = 550

Probability = 94 / 550 = 0.171 or approximately 17.1%

Please note that the given information does not provide a specific age for one customer in the 50-60 age range, so we cannot calculate the exact probabilities. We can only provide approximations based on the available information.

User Oleschri
by
7.2k points