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30% of the students at a private college do not participate in voluntary work. a) If you randomly select 8 students, what is the probability

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30% of the students at a private college do not participate in voluntary work. a) If you randomly select 8 students, what is the probability that: (i) 5 of them did not participate in voluntary work? (2m) (ii) At most 6 did not participate in voluntary work? (3m) (iii) Not more than 3 participated in voluntary work? (4m) b) Calculate the expected value (mean) and standard deviation ofthe number of students who participate in voluntary work. (3m)

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