Question

a college sends a survey to selected members of the class of 2019. of the 1728 people who graduated that year, 866 were women, of whom 188 went on to graduate school. of the male graduates, 191 went on to graduate school. an alumni member is selected at random. what is the probability that the alumni is male?
note: for any final answer that has up to four decimal places, enter your answer without rounding the number. for any answers with more than four decimal values, round your final answer to four decimal places.

Explanation:

Step1: Calculate the number of male graduates

Total graduates = 1728, number of female graduates = 866.
Number of male graduates \(=1728 - 866=862\)

Step2: Calculate the probability

Probability formula \(P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\)
Here, the number of favorable outcomes (male graduates) \(n = 862\), total number of outcomes \(N=1728\)
\(P=\frac{862}{1728}\approx0.4988\)

Answer:

\(0.4988\)