Giving a test to a group of students, the grades and gender are summarized belowGrades and GenderABсMale14618Female19153If one student was chosen at random, find the probability that the student was female.Probability=(Round to 4 decimal places)
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From the question,
We are given the table below
We are to calculate proberbility that if one student was picked at random, it is a female
This will be done using
[tex]P(\text{Female)}=\frac{\text{Number of females}}{Total\text{ Gender}}[/tex]From the given table
Number of Females = 19 + 15 + 3 = 37
Total Gender = Number of Male + Number of Female
= 14 + 6 + 18 + 37 = 75
Therefore, we get
[tex]\begin{gathered} P(\text{Female)}=\frac{37}{75} \\ P(\text{Female)}=0.4933 \end{gathered}[/tex]Therefore, Probability = 0.4933