To solve this probability problem, let's analyze the data provided.

We want to find the probability that a shopper selected at random both:

1. Made a purchase.
2. Was satisfied with the service.

Step 1: Identify Relevant Numbers

From the table, we can see:

• The total number of shoppers surveyed is 1522.
• The number of shoppers who made a purchase and were satisfied with the service is 130.

Step 2: Set Up the Probability

The probability $P$ that a randomly selected shopper made a purchase and was satisfied with the service is given by: $P = \frac{\text{Number of shoppers who made a purchase and were satisfied}}{\text{Total number of shoppers}}$ Substituting the values: $P = \frac{130}{1522}$

Answer

The probability that a shopper selected at random made a purchase and was satisfied with their service is: $\frac{130}{1522}$

If you need any further clarification or details, feel free to ask!

Here are some additional questions to consider:

1. What is the probability that a shopper made a purchase but was not satisfied with the service?
2. What is the probability that a shopper did not make a purchase but was satisfied with the service?
3. What is the probability that a randomly selected shopper was not satisfied with the service at all?
4. What is the probability that a shopper who made a purchase was satisfied with the service?
5. What is the probability that a shopper who did not make a purchase was not satisfied with the service?

Tip: When dealing with probabilities in a contingency table, always ensure you correctly identify the total values to set up the fraction accurately.