CAIE A-Level Mathematics 6.3.1 Continuous random variables

CAIE A-Level Mathematics 6.3.1 Continuous random variables
Cambridge International AS & A Level Mathematics 9709 syllabus for exams in 2028, 2029 and 20302028–2030

Practise recognising valid continuous distributions, using total area 1 and interpreting constants as limits or contextual bounds.

How this is tested

  • use a diagram or integral limits to link constants defining a single interval

Question 6(a)

[Maximum number: 2]
Figure for Question 6(a) — CAIE A-Level Mathematics

The diagram shows the graph of the probability density function, f, of a random variable X. The graph is a straight line from ( 0, a ) to ( b, 0 ) where a and b are constants. Elsewhere f(x)=0.

Find an expression for b in terms of a.