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IB Maths AA SL 4.7 Discrete Random Variables Questions

Practise interpreting discrete probability distributions, calculating expected value and mean, and using E(X) = 0 to analyse a fair-game context.

Syllabus
First assessment 2021
Course
Mathematics: analysis and approaches SL
Level
SL

Exam points

  • Construct and interpret a discrete probability distribution whose probabilities sum to one.
  • Calculate expected values from a discrete random-variable table and interpret the result in context.
  • Use sequential probability rules for draws without replacement and event-based outcomes.

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Study SL 4.7—Discrete random variables conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

IB Maths AA SL 4.7 Discrete Random Variables Questions question 1

[Maximum number: 5]

A supermarket analyses the shopping habits of its customers.
The number of times, X, each customer visits the supermarket in a week is given by the following probability distribution.

Table for Question IB Maths AA SL 4.7 Discrete Random Variables Questions question 1 — IB Maths AA SL

Question (a)

(a)

Find the value of a.

[ 3 ]

Question (b)

(b)

Find the mean of X.

The manager wants to know why customers come to their supermarket. They survey the first 50 customers to arrive at the supermarket on a particular day.

[ 2 ]
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