Question

1. a popular restaurant in the mall has conducted marketing research on four new salads it is considering putting on the menu. the percentages of study participants in various age categories and their salad preference are shown in the table below. salad preference was found to be independent of age.

age
under 25 .36%
25 to 34 14%
35 to 44 17%
45 to 54 14%
55 to 64 8%
65 to 74 6%
75 and over 5%
salad preference
feta cheese .10%
bbq chicken 60%
asian ginger 10%
chopped cob 20%
a. people who participated in the study will be randomly selected for face - to - face interviews. what is the

Explanation:

Step1: Identify the age group "55 or older"

The age groups 55 to 64 (8%), 65 to 74 (6%), and 75 and over (5%) are 55 or older. Sum their percentages: \(8\% + 6\% + 5\% = 19\%\).

Step2: Identify the salad preference "BBQ Chicken"

BBQ Chicken has a 60% preference.

Step3: Since preference is independent of age, multiply the probabilities

The probability of age 55 or older is \(0.19\) and BBQ Chicken preference is \(0.60\). So, \(0.19\times0.60 = 0.114\) or \(11.4\%\).

Answer:

\(11.4\%\) (or \(0.114\))