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A-Level MathematicsYear 2021Q2

4 2 When a signal is converted from analogue to digital, a small amount of information is lost. This loss is called the quantisation error. The probability density function of the quantisation error, measured in LSBs (least significant bits) is shown in Figure 2. –0.6 Quantisation error (LSBs) Probability density –0.5 –0.4 –0.3 –0.2 –0.1 0 0.1 1.2 1 0.8 0.6 0.4 0.2 0 0.2 0.3 0.4 0.5 0.6 Figure 2 (a) At a randomly chosen time, find the probability that (i) the quantisation error is 0 (1) _____________________________________________________________________________________ _____________________________________________________________________________________ (ii) the quantisation error is greater than 0.28 (2) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________

Paper Source:9ST0_01_que_20211020.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)