Question

Below, the two-way table is given for a classof students.FreshmenSophomoreJuniorsSeniorsTotalMale4622Female 3463TotalIf a student is selected at random, find theprobability the student is a senior.P( Senior ) = [?]%Round to the nearest whole percent.

Answer 1

Step-by-step explanation

In a two-way table probability, we need to examine the relationship between two categorical variables. In this case, we have a conditional probability.

We first need to fill in the total quantities in the boxes:

Now, in order to get the number of students we need to apply the following equation:

`P(senior)=\frac{Desired\text{ outcomes}}{All\text{ the possible outcomes}}`

Where the desired outcomes represent the total number of studentes in the column "Seniors" and all the possible outcomes is equal to the total number of students.

Plugging in the terms into the equation:

`P(senior)=(5)/(30)`

Simplifying:

`P(senior)=(1)/(6)`

Rounding to the nearest whole percent:

`P(senior)=17\text{ \%}`

In conclusion, the solution is 17%