Q96 · Practice questionComplex familiar6 marks
QUESTION 96 (6 marks)
A waiting time (minutes) is exponentially distributed with parameter .
a)[2 marks]
Determine to four decimal places.
b)[2 marks]
Determine to four decimal places.
c)[2 marks]
Determine the 95th percentile of to two decimal places.
WORKED SOLUTION
6 marksPractice marking scheme
ANSWER
(a) ; (b) ; (c) minutes.
Worked solution
(a) .
(b)
(c) The 95th percentile satisfies . Thus
Determines the survival probability.
Determines the conditional probability.
Forms and solves the quantile equation.
Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.
View the QCAA syllabusHow many marks did you earn?
Compare your working with the guide above.