IB Maths AA HL AA 4.4 Probability distributions questions

Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.

Paper
Paper 1, no calculatorPaper 2, calculator
Difficulty
EasyMediumHard

Question 1

Paper 1, no calculatorMedium6 marks

The graph in Figure 1 shows the probability density function, ff of a continuous random variable XX

1200.51xf(x)
(a)

Write down f(x)f(x) as a piecewise function.

[2]
(b)

Determine E(X)E(X)

[2]
(c)

Hence determine Var⁡(X)\operatorname{Var}(X)

[2]