a chef surveys customers at a cuban restaurant to determine which main dish they prefer. the two - way table…
a chef surveys customers at a cuban restaurant to determine which main dish they prefer. the two - way table shows the results. use the drop - down menus to explain how the responses from the adults and the children compare. cuban main dish options adults children total ropa vieja 31 5 36 picadillo 30 14 44 total 61 19 80 click the arrows to choose an answer from each menu. the data show that a randomly chosen child is choose... a randomly chosen customer who prefers ropa vieja is about choose...
Answer
Explanation:
Step1: Calculate probability of child preferring ropa vieja
The number of children is 19 and the number of children who prefer ropa vieja is 5. The probability that a randomly - chosen child prefers ropa vieja is $\frac{5}{19}\approx0.263$.
Step2: Calculate probability of adult preferring ropa vieja
The number of adults is 61 and the number of adults who prefer ropa vieja is 31. The probability that a randomly - chosen adult prefers ropa vieja is $\frac{31}{61}\approx0.508$. So a randomly - chosen child is less likely to prefer ropa vieja.
Step3: Calculate conditional probability of being a child given preference for ropa vieja
The number of people who prefer ropa vieja is 36. The number of children who prefer ropa vieja is 5. The probability that a randomly - chosen customer who prefers ropa vieja is a child is $\frac{5}{36}\approx0.139$.
Step4: Calculate conditional probability of being an adult given preference for ropa vieja
The number of people who prefer ropa vieja is 36. The number of adults who prefer ropa vieja is 31. The probability that a randomly - chosen customer who prefers ropa vieja is an adult is $\frac{31}{36}\approx0.861$. So a randomly - chosen customer who prefers ropa vieja is about 6 times as likely to be an adult as a child ($\frac{31/36}{5/36}=\frac{31}{5} = 6.2$).
Answer:
The data show that a randomly - chosen child is less likely to prefer ropa vieja. A randomly - chosen customer who prefers ropa vieja is about 6 times as likely to be an adult as a child.