Question

A phone company surveys a sample of current customers to determine if they use their phones most often to text or use the Internet. They sort the data by payment plans, as shown below. Plan A: 27 text, 21 Internet Plan B: 13 text, 10 Internet Answer the questions to determine a conditional probability.

How many customers are on payment plan B?_____customers
How many of the customers on plan B text? _______ customers
What is the probability that a randomly selected customer who is on plan B uses the phone most often to text? Give the answer in fraction form.

Answer 1

Let's analyze the data provided:

Plan A: 27 text, 21 Internet

Plan B: 13 text, 10 Internet

1. How many customers are on payment plan B?

The number of customers on payment plan B can be found by summing the number of customers on plan B that use their phone most often for texting and the number that use it most often for the Internet. That is, 13 (text) + 10 (Internet) = 23 customers.

2. How many of the customers on plan B text?

From the data, we can see that 13 customers on payment plan B use their phones most often to text.

3. What is the probability that a randomly selected customer who is on plan B uses the phone most often to text?

The probability that a randomly selected customer on plan B uses their phone most often to text is the number of customers on plan B who text divided by the total number of customers on plan B. This is 13 (text) / 23 (total on plan B) = 13/23.

So, the answers are:

1. 23 customers are on payment plan B.

2. 13 of the customers on plan B use their phones most often to text.

3. The probability that a randomly selected customer who is on plan B uses their phone most often to text is 13/23.