Question

a wilderness retail store asked a consulting company to do an analysis of their hiking shoe customers. the consulting company gathered data from each customer who purchased hiking shoes, and recorded the shoe brand and the customers level of happiness. what is the probability that a randomly selected customer purchased a footlong shoe and is pleased? simplify any fractions.

Explanation:

Step1: Calculate the total number of customers

We sum up all the values in the table.

$$4 + 4+6 + 4=18$$

Step2: Find the number of customers who purchased Footlong shoes and are pleased

From the table, the number of customers who purchased Footlong shoes and are pleased is \(4\).

Step3: Calculate the probability

The probability \(P\) is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes is \(4\) (customers who bought Footlong and are pleased) and the total number of outcomes is \(18\).

$$P=\frac{4}{18}=\frac{2}{9}$$

Answer:

\(\frac{2}{9}\)