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A-Level MathematicsYear 2022Q8

22   8. The continuous random variable X has cumulative distribution function given by F( ) . . . x x x x x x = − −    1 5 0 0 25 1 1 25 1 1 3 3 2 < >   (a) Find the exact value of the median of X (2) (b) Find P (X < 1.6 | X > 1.2) (3) The random variable Y = 1 X (c) Specify fully the cumulative distribution function of Y (4) (d) Hence or otherwise find the mode of Y (3) ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ Turn over 23   Question 8 continued _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________

Paper Source:9fm0-4b-que-20220628.pdf

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Exam Specification Info

This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.

Syllabus levelAdvanced Level (A-Level)

SubjectMathematics

Official MarksVariable (2–6 marks)