2013 DHS P2 Q10

2013 DHS P2 Q10

6 marks

One question in a survey is as follows:
“Do you use Facebook during office hours at least once a day? Yes or No?''
It is known that on average, \(7\) out of \(9\) staff members answered “yes” to the above question. For the random sample of \(60\) staff members selected,

  1. find the standard deviation of the number of staff members who answer “yes”,[1]
  2. find the probability that the number of staff members who answer “yes” exceeds the mean,[3]
  3. find the most probable number of staff members who answer “yes”,[2]

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Answer:(i) \(3.22\) (3 s.f.) (ii) \(0.532\) (3 s.f.) (iii) \(47\)

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