a group of 120 people were asked whether their income level is above or below $25,000 and whether they…

a group of 120 people were asked whether their income level is above or below $25,000 and whether they subscribe to a movie channel. the data from the survey is shown in the venn diagram. use the venn diagram to find the missing values in the frequency table. which shows the correct values for the variables in the table? a = 18, b = 34, c = 65 a = 34, b = 18, c = 68 a = 34, b = 68, c = 47 a = 47, b = 18, c = 68

a group of 120 people were asked whether their income level is above or below $25,000 and whether they subscribe to a movie channel. the data from the survey is shown in the venn diagram. use the venn diagram to find the missing values in the frequency table. which shows the correct values for the variables in the table? a = 18, b = 34, c = 65 a = 34, b = 18, c = 68 a = 34, b = 68, c = 47 a = 47, b = 18, c = 68

Answer

Explanation:

Step1: Find the value of (a)

From the Venn diagram, the number of people who are subscribers but not below ($25000) is (34), so (a = 34).

Step2: Find the value of (b)

The number of people who are below ($25000) is (55 + 18=73). The total number of people is (120). The number of people who are subscribers is (18 + 34 = 52). The number of people who are not below ($25000) is (120-(55 + 18)=47). The number of people who are not subscribers and not below ($25000) is (13). The number of people who are not subscribers is (120-(18 + 34)=68), so (b = 68).

Step3: Find the value of (c)

The number of people who are subscribers is (18+34 = 52). The number of people who are not subscribers is (68). The total number of people is (120). The number of people who are not below ($25000) is (120-(55 + 18)=47). But if we consider the row - wise sum: for the "Not Subscriber" row, if we assume the table structure (not shown fully but from the Venn - to - table conversion logic). Another way: The number of people who are subscribers is (18 + 34=52). The number of people who are not subscribers: (120-(18 + 34)=68). The number of people who are not below ($25000) and not subscribers is (13). The number of people who are not below ($25000) is (13+34 = 47). But if we consider the column - wise sum for the "Not Below ($25000)" column: (a+) (not - subscriber and not - below) (=34 + 13=47) (incorrect approach). Wait, correct way: The number of people who are subscribers is (18+34 = 52). The number of people who are not subscribers: (120 - 52=68). The number of people who are below ($25000) is (55 + 18=73). The number of people who are not below ($25000) is (120-73 = 47). But for the table (assuming standard two - way table: income (below/above) and subscription (yes/no)). The value of (a) (subscriber and not below) is (34), (b) (not subscriber) is (120-(18 + 34)=68), (c) (not below) is (34+13 = 47) (if we assume the table has rows as subscriber and not subscriber, columns as below and not below. Sum of not - below column: (34+13=47)).

Answer:

(a = 34,b = 68,c = 47) (the third option)