Question

question 1 3 pts a college sends a survey to selected members of the class of 2019. of the 1,898 people who graduated that year, 638 were women, of whom 95 went on to graduate school. of the male graduates, 184 went on to graduate school. an alumni member is selected at random. what is the probability that the alumni is female? 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 = 1898, number of female graduates = 638. So number of male graduates \(=1898 - 638=1260\). But we don't need this for the probability of selecting a female.

Step2: Use the probability formula

The probability formula is \(P(A)=\frac{n(A)}{n(S)}\), where \(n(A)\) is the number of elements in event \(A\) and \(n(S)\) is the number of elements in the sample space. Here, event \(A\) is selecting a female graduate, \(n(A) = 638\), and \(n(S)=1898\). So \(P=\frac{638}{1898}\)

Step3: Simplify the fraction

\(\frac{638}{1898}=\frac{319}{949}\approx0.3361\)

Answer:

\(0.3361\)