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In a certain college, 4% of ·boys and 1 % of girls are taller than 1.75 metres. Furthermore, 60% of the students are girls. If a student is selected at random and is taller than 1.75 metres, what is the probability that the selected student is a girl? |
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Answer» Then, `P(E_1)=40/100=2/5,and P(E_2)=60/100=3/5`. Let E = EVENT that the student selected is taller than 1.75 m. Then `P(E//E_1)=4/100=1/25and P(E//E_2)=1/100`. Probability that the selected student is a girl, givne that she is taller than 1.75 m `=P(E_2//E)` `=(P(E//E_2).P(E_2))/(P(E//E_1).P(E_1)+P(E//E_2.P(E_2))` |
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