Question: (a) State one disadvantage of using quota sampling compared with simple random sampling. (1) In a university 8% of students are members of the university

(a) State one disadvantage of using quota sampling compared with simple random sampling. (1) In a university 8% of students are members of the university dance club. A random sample of 36 students is taken from the university. The random variable X represents the number of these students who are members of the dance club. (b) Using a suitable model for X, find (i) P(X= 4) (ii) P(X2 7) (3) Only 40% of the university dance club members can dance the tango. (c) Find the probability that a student is a member of the university dance club and can dance the tango. (1) A random sample of 50 students is taken from the university. (d) Find the probability that fewer than 3 of these students are members of the university dance club and can dance the tango. (2)

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