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8.02 Binomial distribution

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Outcomes

4.3.2.1

understand the concepts of Bernoulli trials and the concept of a binomial random variable as the number of β€˜successes’ in 𝑛 independent Bernoulli trials, with the same probability of success 𝑝 in each trial

4.3.2.2

identify contexts suitable for modelling by binomial random variables

4.3.2.3

determine and use the probabilities 𝑃(𝑋=π‘Ÿ) = {nr} 𝑝^π‘Ÿ(1 βˆ’ 𝑝)^(n-r) associated with the binomial distribution with parameters 𝑛 and p

4.3.2.4

calculate the mean 𝑛p and variance 𝑛p(1βˆ’π‘) of a binomial distribution using technology and algebraic methods

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