lucky business conducted a survey of 114 employees to determine how many people drink coffee.\n62 employees…
lucky business conducted a survey of 114 employees to determine how many people drink coffee.\n62 employees are males\n80 employees responded they drink coffee\n21 females do not drink coffee\ndefined categories (with abbreviations):\nmale employees (me)\nemployees who drink coffee (cd)
Answer
Explanation:
Step1: Find number of female employees
Total employees = 114, male employees = 62. So number of female employees $F=114 - 62=52$.
Step2: Find number of female employees who drink coffee
Number of female employees who do not drink coffee = 21. So number of female employees who drink coffee $F_{CD}=52 - 21 = 31$.
Step3: Find number of male employees who drink coffee
Total employees who drink coffee = 80. Since number of female employees who drink coffee is 31, number of male employees who drink coffee $M_{CD}=80 - 31=49$.
Step4: Find number of male employees who do not drink coffee
Number of male employees = 62. Number of male employees who drink coffee = 49. So number of male employees who do not drink coffee $M_{NCD}=62 - 49 = 13$.
We can now fill in the Venn - diagram:
- The intersection of the two circles (male employees who drink coffee) has 49.
- The part of the "Male employees" circle that is not in the intersection (male employees who do not drink coffee) has 13.
- The part of the "Employees who drink coffee" circle that is not in the intersection (female employees who drink coffee) has 31.
- The number of female employees who do not drink coffee (outside the "Employees who drink coffee" circle but inside the "Female employees" part of the universal set) is 21.
Answer:
Male employees who drink coffee: 49, Male employees who do not drink coffee: 13, Female employees who drink coffee: 31, Female employees who do not drink coffee: 21 (These values are used to fill the Venn - diagram)