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IB Maths AA HL 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 HL
Level
HL

Exam points

  • Use the conditions of a discrete probability distribution to determine unknown probabilities and the range of a variable.
  • Calculate and interpret expected value, variance and standard deviation from a discrete distribution.
  • Use a probability table or distribution to solve contextual questions about a discrete random variable.

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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 HL 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 HL Sl 4 7 Discrete Random Variables Questions question 1 — IB Maths AA HL

Question (a)

(a)

Find the value of a.

[ 2 ]

Question (b)

(b)

Write down the mode of X.

[ 1 ]

Question (c)

(c)

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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