Q43 · Practice questionTechnology-activeComplex unfamiliar5 marks
QUESTION 43 (5 marks)
A normally distributed random variable satisfies and . Determine the mean and standard deviation of to three significant figures.
WORKED SOLUTION
5 marksPractice marking scheme
ANSWER
Mean ; standard deviation .
Worked solution
The 10th and 90th percentiles are symmetric about the mean, so . Since , , giving .
Recognises the symmetry and determines .
Uses the 90th-percentile z-value.
Forms .
Determines .
States both parameters with appropriate precision.
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