Question

determine the following proportion.
the following table categorizes the students in a first - grade class by age and gender.

	age
male	2	9	1	12
female	2	6	0	8
totals	4	15	1	20

what proportion of the students are female or less than 6 years old?
10/20
12/20
2/20
4/20
8/20

Explanation:

Step1: Find number of female students

There are 8 female students as shown in the total - female row.

Step2: Find number of students less than 6 years old

There are 4 students who are 5 years old.

Step3: Find number of female students who are less than 6 years old

There are 2 female students who are 5 years old.

Step4: Use the formula for \(P(A\cup B)\)

The formula for \(P(A\cup B)=P(A)+P(B)-P(A\cap B)\). Here, \(A\) is the event of being female and \(B\) is the event of being less - than 6 years old. The number of students who are female or less than 6 years old is \(8 + 4-2=10\).

Step5: Calculate the proportion

The total number of students is 20. So the proportion is \(\frac{10}{20}\).

Answer:

10/20