Question

probability and statistics
a survey was taken of children between the ages of 10 and 17 about how many siblings they have and whether they have a pet. the results of the survey are shown in the table
which statement must be true?
out of the 125 children who do not have any siblings, 34 of them have a pet.
out of the 97 children who have 1 pet, 40 of them do not have any siblings.
out of the 97 children who have 1 sibling, 40 of them do not have a pet.
out of the 125 children who do not have a pet, 18 of them have 2 siblings.

Explanation:

Step1: Check the first statement

The total number of children who do not have any siblings is \(34 + 18=52
eq125\). So this statement is wrong.

Step2: Check the second statement

The number of children who have a pet is \(125\). So the statement “Out of the 97 children who have 1 pet” is wrong as the total number of children with a pet is \(125\) not \(97\).

Step3: Check the third statement

The number of children with 1 sibling is \(97\). The number of children with 1 sibling and no pet: \(97 - 57=40\). So out of the 97 children who have 1 sibling, 40 of them do not have a pet. This statement is correct.

Step4: Check the fourth statement

The total number of children who do not have a pet is \(200 - 125 = 75
eq125\). So this statement is wrong.

Answer:

Out of the 97 children who have 1 sibling, 40 of them do not have a pet.