4. In a college, there are 150 students taking courses in Mathematics, Physics and Economics. Among the students, 92 are females. There are 48 students taking Mathematics which 28 are females. Half of the 68 students taking Physics are females. (a) Construct the contingency table for the given data. (b) A student is chosen at random. Find the probability that the student (i) takes Economics,

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4. In a college, there are 150 students taking courses in Mathematics, Physics and Economics.
Among the students, 92 are females. There are 48 students taking Mathematics which 28 are
females. Half of the 68 students taking Physics are females.
(a) Construct the contingency table for the given data.
(b) A student is chosen at random. Find the probability that the student
(i)
takes Economics,
(ii)
is a male, given that he takes Economics,
(iii)
takes Economics or a female.
(c) Two students are chosen at random, find the probability that at least one student takes
Economics.
Transcribed Image Text:4. In a college, there are 150 students taking courses in Mathematics, Physics and Economics. Among the students, 92 are females. There are 48 students taking Mathematics which 28 are females. Half of the 68 students taking Physics are females. (a) Construct the contingency table for the given data. (b) A student is chosen at random. Find the probability that the student (i) takes Economics, (ii) is a male, given that he takes Economics, (iii) takes Economics or a female. (c) Two students are chosen at random, find the probability that at least one student takes Economics.
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