a wilderness retail store asked a consulting company to do an analysis of their hiking shoe customers. the…
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 is displeased given that the customer purchased a footlong shoe? simplify any fractions.
Answer
Explanation:
Step1: Identify relevant values
The number of customers who bought Footlong shoes and are displeased is 14, and the total number of customers who bought Footlong shoes is (14 + 9=23).
Step2: Calculate conditional - probability
The formula for conditional probability (P(A|B)=\frac{P(A\cap B)}{P(B)}). In the context of frequency - tables, if (A) is the event of being displeased and (B) is the event of buying a Footlong shoe, the probability (P(\text{displeased}|\text{Footlong shoe})=\frac{\text{Number of displeased Footlong - shoe buyers}}{\text{Total number of Footlong - shoe buyers}}). So (P=\frac{14}{23}).
Answer:
(\frac{14}{23})