Asked by SHANKAR
In a certain college , 4% of men students and 1% of women students are taller than 1.8m . Further more , 60% of the students are women . If a student is selected at random and is found taller than 1.8m , What is the probability that the student is a women?
Answers
Answered by
drwls
Among 1000 random students (say), there will be 600 women of whom 6 (1%) are 1.8 meters or more high. There will be 400 men of whom 16 (4%) are that high.
Since the selection was made at random from the student population and ended up with one of the taller people, the chances it is a woman are
6/(16 + 6) = 27% That is the fraction of "tall people" that are women.
There is a way to do this using Bayes' theorem of conditional probabilities, which I can never remember, but it should give the same result.
Since the selection was made at random from the student population and ended up with one of the taller people, the chances it is a woman are
6/(16 + 6) = 27% That is the fraction of "tall people" that are women.
There is a way to do this using Bayes' theorem of conditional probabilities, which I can never remember, but it should give the same result.
Answered by
MLG
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