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? \boxed{} customers how many of the customers on plan b text? \boxed{} 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. \boxed{}

Explanation:

Sub - question 1: How many customers are on payment plan B?

Step 1: Identify the number of customers on Plan B for texting and internet use.

For Plan B, the number of customers who text is 13 and the number of customers who use the internet is 10.

Step 2: Calculate the total number of customers on Plan B.

To find the total number of customers on Plan B, we add the number of customers who text and the number of customers who use the internet. So, the total number of customers on Plan B is \(13 + 10\).
\(13+10 = 23\)

From the given data, it is directly stated that the number of customers on Plan B who text is 13.

Step 1: Recall the formula for conditional probability (in the context of a two - way table for a specific group).

The probability that a customer on Plan B texts is given by the formula \(P(\text{text}|\text{Plan B})=\frac{\text{Number of customers on Plan B who text}}{\text{Total number of customers on Plan B}}\)

Step 2: Identify the values from the data.

We know that the number of customers on Plan B who text is 13 (from the data: Plan B: 13 text, 10 Internet) and the total number of customers on Plan B is \(13 + 10=23\) (from the first sub - question).

Step 3: Calculate the probability.

Substitute the values into the formula: \(P(\text{text}|\text{Plan B})=\frac{13}{23}\)

Answer:

23

Sub - question 2: How many of the customers on plan B text?