CAIE A-Level Further Math AS 4.1.1 Piecewise Density Functions Topic Practice

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A-Level CAIE Further Mathematics

1. Further Pure Mathematics 1

1.1 Roots of polynomial equations

1.2 Rational functions and graphs

1.3 Summation of series

1.5 Polar coordinates

1.7 Proof by induction

3. Further Mechanics

3.1 Motion of a projectile

3.2 Equilibrium of a rigid body

3.3 Circular motion

3.4 Hooke's law

3.5 Linear motion under a variable force

4. Further Probability & Statistics

4.1 Continuous random variables

4.1.1—Piecewise density functions

4.1.2—Expected values of functions

4.1.3—PDF and CDF

4.1.4—PDF and CDF

4.2 Inference using normal and t-distributions

4.3 Chi-squared tests

4.4 Non-parametric tests

4.5 Probability generating functions

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