Question

A college sends a survey to selected members of the class of 2019. Of the 1,737 people who graduated that year, 842 were women, of whom 158 went on to graduate school. Of the male graduates. 173 went on to graduate school. An alumni member is selected at random. What is the probability that the alumni is male?

Answer 1

The probability that an alumni member is male is calculated by subtracting the number of female graduates from the total number of graduates and then dividing the result by the total number of graduates. For a class of 1,737 graduates with 842 women, the probability that a randomly selected alumni is male is approximately 51.5%.

Step-by-step explanation:

To find the probability that an alumni member is male, we first need to establish the total number of graduates, which is 1,737. Next, we find the number of female graduates, which is 842. Since the total number of graduates is the sum of male and female graduates, we can subtract the number of female graduates from the total to find the number of male graduates.

The calculation is as follows:

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Therefore, the probability that a randomly selected alumni member is male is calculated by dividing the number of male graduates by the total number of graduates:

Probability(alumni is male) = Number of male graduates / Total number of graduates
= 895 / 1,737

Calculating this gives us the probability:

Probability(alumni is male) ≈ 0.515 (or 51.5%)