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Question
a sample of 347 students at a university is surveyed. the students are classified according to gender (\female\ or \male\). they are also classified by major (\biology\, \business\, \engineering\, \mathematics\, or \computer science\). the results are given in the contingency table below.
among the business majors in the sample, find the relative frequency of those who happen to be female.
round your answer to two decimal places.
Step1: Find total number of business majors
The number of male business - majors is 35 and female business - majors is 48. So the total number of business majors is $35 + 48=83$.
Step2: Calculate relative frequency of female business - majors
The relative frequency of female business - majors among business majors is $\frac{48}{83}$.
Step3: Round the result
$\frac{48}{83}\approx0.58$
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$0.58$