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

Identify contexts suitable for modelling by binomial random variables.

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Question 1

A sports coach is tracking free-throw performance. Each player attempts one free throw per training session and the outcome is recorded as either 'successful' or 'unsuccessful'. The coach knows that historically, each player has a 70% success rate on free throws. One player is selected randomly each session for 8 consecutive sessions and the number of successful free throws is recorded. State three conditions that make this scenario suitable for modelling using a binomial random variable.

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Question 2

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

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