Question

A college sends a survey to selected members of the class of 2009. Of the 1214 people who graduated that year, 668 are women, of whom 104 went on to graduate school. Of the 546 male graduates, 206 went on to graduate school. An alumni member is selected at random. What are the probabilities that the person is each of the following?

algebra 2
find probabilties for a) female,
b) male,
c) female and did not attend graduate school.

Answer 1

Answer: a) The probability that the alumni member selected at random is female is:

P(female) = number of female graduates / total number of graduates

P(female) = 668 / 1214

P(female) ≈ 0.5508

Therefore, the probability that the alumni member selected at random is female is approximately 0.5508.

b) The probability that the alumni member selected at random is male is:

P(male) = number of male graduates / total number of graduates

P(male) = 546 / 1214

P(male) ≈ 0.4492

Therefore, the probability that the alumni member selected at random is male is approximately 0.4492.

c) The probability that the alumni member selected at random is female and did not attend graduate school is:

P(female and did not attend graduate school) = (number of female graduates - number of female graduates who went on to graduate school) / total number of graduates

P(female and did not attend graduate school) = (668 - 104) / 1214

P(female and did not attend graduate school) ≈ 0.4691

Therefore, the probability that the alumni member selected at random is female and did not attend graduate school is approximately 0.4691.

Explanation: