Q60 · Practice questionComplex familiar4 marks
QUESTION 60 (4 marks)
The lifetime (hours) of a component is exponentially distributed with mean 12 hours.
a)[2 marks]
Determine exactly.
b)[2 marks]
Determine the median lifetime exactly.
WORKED SOLUTION
4 marksPractice marking scheme
ANSWER
(a) ; (b) hours.
Worked solution
(a) The rate is . Thus .
(b) The median satisfies . Hence , so and hours.
Determines the parameter and survival probability.
Forms the median equation and solves exactly.
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