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Mathematical Methods · Unit 3 · Discrete random variables · Bernoulli distributions

Identify contexts suitable for modelling by Bernoulli random variables.

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Question 1

A market research company surveys shoppers as they leave a supermarket. Each shopper is asked whether they purchased a product from the health food section. The response is recorded as either 'yes' or 'no'. The probability that any shopper purchases from the health food section is 0.3, and each shopper's purchase decision is independent of other shoppers. State two conditions that make this context suitable for modelling using a Bernoulli random variable. [2 marks] The company surveys one randomly selected shopper. Determine the probability that this shopper did not purchase from the health food section. [1 mark]

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Question 2

Which of the following scenarios is most suitable for modelling using a Bernoulli random variable?

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Question 3

Which of the following scenarios is most suitable for modelling with a Bernoulli random variable?

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