Question

question 6
3 pts
a college sends a survey to selected members of the class of 2019. of the 1,691 people who graduated that year, 806 were women, of whom 121 went on to graduate school. of the male graduates, 199 went on to graduate school. an alumni member is selected at random. what is the probability that the alumni is female and did not attend graduate school?
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 female alumni who did not attend graduate school

The number of female alumni is \(806\), and the number of female alumni who went to graduate school is \(121\). So the number of female alumni who did not attend graduate school is \(806 - 121=685\).

Step2: Calculate the probability

The total number of alumni is \(1691\). The probability \(P\) that the alumni is female AND did not attend graduate school is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). So \(P = \frac{685}{1691}\approx0.4051\)

Answer:

\(0.4051\)