Question

Stay in school: In a recent school year in the state of Washington, there were 319,000 high school students. Of these, 158,000 were females and 161,000 were male. Among the females, 27,200 dropped out of school, and among the males, 10,500 dropped out. A student is chosen at random. Round the answers to four decimal places.

Answer 1

Probability of a student being female: 0.4953

Probability of a student being male: 0.5047

Probability of a student being a dropout: 0.1182

Probability of a student being a non-dropout: 0.8818

Probability of a female student being a dropout: 0.1715

Probability of a male student being a dropout: 0.0652

To find the probability analysis of high school students in Washington:

Probability of a student being female:

P(female) = female students / total students

P(female) = 158,000 / 319,000 ≈ 0.4953

Probability of a student being male:

P(male) = male students / total students

P(male) = 161,000 / 319,000 ≈ 0.5047

Probability of a student being a dropout:

P(dropout) = total dropouts / total students

P(dropout) = 37,700 / 319,000 ≈ 0.1182

Probability of a student being a female dropout:

P(female dropout) = female dropouts / total students

P(female dropout) = 27,200 / 319,000 ≈ 0.0852

Probability of a student being a male dropout:

P(male dropout) = male dropouts / total students

P(male dropout) = 10,500 / 319,000 ≈ 0.0332

Probability of a student being a non-dropout:

P(non-dropout) = 1 - P(dropout)

P(non-dropout) = 1 - 0.1182 ≈ 0.8818

Probability of a female student being a dropout:

P(dropout | female) = female dropouts / female students

P(dropout | female) = 27,200 / 158,000 ≈ 0.1715

Probability of a male student being a dropout:

P(dropout | male) = male dropouts / male students

P(dropout | male) = 10,500 / 161,000 ≈ 0.0652