5. Eleven students in a class sit a Mathematics exam and their average score is \(67 \%\) with a standard deviation of \(12 \%\). One student from the class is absent and sits the paper later, achieving a score of \(85 \%\).
i. Find the mean score for the whole class and the standard deviation for the whole class.
ii. Comment, with justification, on whether the score for the paper sat later should be considered as an outlier.
[0pt] [BLANK PAGE] \section*{6. Only two airlines fly daily into an airport.} AMP Air has 70 flights per day and Volt Air has 65 flights per day.
Passengers flying with AMP Air have an \(18 \%\) probability of losing their luggage and passengers flying with Volt Air have a \(23 \%\) probability of losing their luggage. You overhear a passenger in the airport complaining about her luggage being lost.
Find the exact probability that she travelled with Volt Air, giving your answer as a rational number.
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