CAIE S1 2010 November — Question 5

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2010
SessionNovember
TopicData representation
TypeComplete frequency table from histogram only

5 The following histogram illustrates the distribution of times, in minutes, that some students spent taking a shower.
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  1. Copy and complete the following frequency table for the data.
    Time \(( t\) minutes \()\)\(2 < t \leqslant 4\)\(4 < t \leqslant 6\)\(6 < t \leqslant 7\)\(7 < t \leqslant 8\)\(8 < t \leqslant 10\)\(10 < t \leqslant 16\)
    Frequency
  2. Calculate an estimate of the mean time to take a shower.
  3. Two of these students are chosen at random. Find the probability that exactly one takes between 7 and 10 minutes to take a shower.