Each of the students in the DMS 111 January-April 2020 class belongs to at least one of three most popular student professional associations at University of Nairobi, School of Business, Mombasa Campus; Finance Students Association (FISA), Operations Management Students Association (OMSA) and Marketing Students Association (MSA). A survey shows that 27 are members of FISA, 40 are members of OMSA and 26 are members of MSA. 6 students belong to all the three associations. Of the students who are members of OMSA, 9 are also members of FISA, while 21 do not belong to any other association. 10 are members of FISA and MSA but not OMSA. Required (i) Present this information on a Venn diagram. (ii) How many students are members of MSA only? (iii) Determine the number of students in the DMS 111 January-April 2020 class. (iv) Compute the proportion of students who belong to exactly two professional associations.
Each of the students in the DMS 111 January-April 2020 class belongs to at least one of
three most popular student professional associations at University of Nairobi, School of
Business, Mombasa Campus; Finance Students Association (FISA), Operations
Management Students Association (OMSA) and Marketing Students Association (MSA). A
survey shows that 27 are members of FISA, 40 are members of OMSA and 26 are members
of MSA. 6 students belong to all the three associations. Of the students who are members of
OMSA, 9 are also members of FISA, while 21 do not belong to any other association. 10 are
members of FISA and MSA but not OMSA.
Required
(i) Present this information on a Venn diagram.
(ii) How many students are members of MSA only?
(iii) Determine the number of students in the DMS 111 January-April 2020 class.
(iv) Compute the proportion of students who belong to exactly two professional associations.
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