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]

The best questions are still waiting

Unlock every question in this topic, then type, photograph or draw your answer and have it marked against the markscheme. Find out where you are dropping marks.

Unlock all questionsCompare Student and Student Plus