Question

Kamala is a researcher interested in studying depression in high school students. She gathers a sample from a local high school consisting of 12 male sophomores, 16 female sophomores, 11 male juniors, and 19 female juniors.

If she selects one student at random, what is the likelihood that that student will be female?

Answer 1

The probability that a randomly selected student will be female is 60.3%.

Step-by-step explanation:

To find the probability that a randomly selected student will be female, we need to calculate the proportion of female students in the sample.

First, we add up the total number of female students: 16 female sophomores + 19 female juniors = 35 female students.

Next, we calculate the total number of students in the sample: 12 male sophomores + 16 female sophomores + 11 male juniors + 19 female juniors = 58 students.

Finally, we divide the number of female students (35) by the total number of students (58) to get the probability: 35/58 = 0.603 or 60.3%