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question 12 3 pts a college sends a survey to selected members of the c…

Question

question 12
3 pts
a college sends a survey to selected members of the class of 2019. of the 1,681 people who graduated that year, 584 were women, of whom 194 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 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: Identify the number of female alumni and total alumni

The number of female alumni is \(584\). The total number of alumni is \(1681\).

Step2: Calculate the probability

The probability \(P\) that a randomly - selected alumni is female is given by the formula \(P=\frac{\text{Number of female alumni}}{\text{Total number of alumni}}\). So, \(P = \frac{584}{1681}\).
Using a calculator, \(\frac{584}{1681}\approx0.3474\)

Answer:

\(0.3474\)