Question

Kamala is a researcher interested in studying depression in high school students. She gathers a sample from a local high school consisting of 14 male sophomores, 10 female sophomores, 18 male iuniors, and 11 female juniors.

Answer 1

The likelihood that the randomly selected student will be female is
`\( (35)/(58) \).`

Step-by-step explanation:

Out of the total sample of 58 high school students, 35 are female (16 female sophomores + 19 female juniors). To find the probability of selecting a female student, divide the number of female students (35) by the total number of students in the sample (58), resulting in
`\( (35)/(58) \).`

Kamala's sample consists of a diverse set of high school students, with varying numbers of male and female sophomores and juniors. The probability of selecting a female student is calculated by summing the number of female sophomores and female juniors and then dividing this total by the overall number of students. In this case, the sum of female sophomores (16) and female juniors (19) equals 35. Dividing this by the total number of students in the sample (58) gives the probability of selecting a female student as
`\( (35)/(58) \).`

The correct answer is
`\( (35)/(58) \).`

Complete 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?