# CAT 1995 | Question: 153

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The following table gives data of some students. However, some data has been spoilt and cannot be read on the computer floppy

It is also known that:

1. Half the students were either excellent or good.

2. 40% of the students were females

3. One-third of the male students were average. Based on the above answer the following questions.

What proportions of female students are good?

1. $0$
2. $0.25$
3. $0.5$
4. $1.0$

Performance     Total
Average         Good     Excellent
Male $\color{blue}{16}$ $\color{blue}{22}$ 10 $\color{blue}{48}$
Female $\color{blue}{(40-16) = 24}$ $\color{blue}{8}$   -- 32
Total $\color{blue}{40}$ 30 $\color{blue}{10}$ $\color{blue}{80}$

$∴ \color{green}{\text{The proportion of good female students =}}$ $\color{purple}{\dfrac{8}{32} = 0.25}$

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