Question

ellusBelow, the two-way table is given for aclass of students.SophomoreFreshmenJuniorsSeniorsTotalMale4622Female3463TotalIf a student is selected at random, find theprobability the student is a junior given that it'smale. Round to the nearest whole percent.[?]%Enter

Answer 1

Given the two-way table, let's find the probability that a student selected at random is a junior student given that it's male.

Total number of students = 4 + 6 + 2 + 2 + 3+ 4 + 6 + 3 = 30

Number of male students = 4 + 6 + 2 + 2 = 14

Number of female students = 3 + 4 + 6 + 3 = 16

To find the probability that a randomly selected student is a junior given that the student is male, we have:

`P=\frac{Number\text{ of male }juniors}{\text{Number of male students}}`

Where:

Number of male junior students = 2

Number of male students = 14

Thus, we have:

`P=(2)/(14)=(1)/(7)`

To write the probability as a percentage, multiply by 100:

`\begin{gathered} P=(1)/(7)\ast100 \\ \\ P=(100)/(7)=14.3\approx\text{ 14\%} \end{gathered}`

Therefore, the probability that a randomly selected student is a junior given that it's male is 14%

A