The study background of the students in a certain college is separated into two; liberal arts and science background. A survey on the students of the college reveals the following data. 45% of students are female. 35% of the students come from a liberal arts background. 40% of the students are male and have a science background. i. Generate a contingency table to represent above events and their probabilities. ii. If a student is selected at random, what is the probability that the student is female and has liberal arts background?  iii.If a male student is selected at random, what is the probability that the student has science background?

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The study background of the students in a certain college is separated into two;
liberal arts and science background. A survey on the students of the college reveals
the following data. 45% of students are female. 35% of the students come from a
liberal arts background. 40% of the students are male and have a science
background.
i. Generate a contingency table to represent above events and their probabilities.

ii. If a student is selected at random, what is the probability that the student is female
and has liberal arts background? 
iii.If a male student is selected at random, what is the probability that the student has
science background?

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