A-Level MathematicsYear 2020Q3
8 3. The continuous random variable X has cumulative distribution function F( ) x px k x x x x = − 0 1 4 4 9 9 < > where p and k are constants. (a) Find the value of p and the value of k. (4) Given that E(X) = 119 18 (b) show that Var(X) = 2.05 to 3 significant figures. (6) (c) Write down the mode of X. (1) (d) Find the exact value of the constant a such that P(X a) = 7 27 (3) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________
Paper Source:8FM0_24_que_20201009.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)