Q190 · Practice questionTechnology-activeComplex unfamiliar5 marks
QUESTION 190 (5 marks)
A normal random variable satisfies and . Determine the mean and standard deviation of to three significant figures.
WORKED SOLUTION
5 marksPractice marking scheme
ANSWER
and .
Worked solution
The conditions give and because . Using and , subtract the equations to find , then substitute to find .
Converts the first probability to a standard-normal quantile equation.
Converts the second probability correctly.
Forms two equations in and .
Determines .
Determines .
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