Support · Mathematics Extension 1 11–12 – Year 12 · The binomial distribution and sampling distribution of the mean
Support Use the formula P(X = r) = ⁿC_rp^r((1 - p))^(n - r) to find the probability of r successes in a binomial experiment involving n trials
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Prerequisite dot points
Generate a probability distribution for a given discrete random variable and represent the probability distribution in graphical and tabular form
Mathematics Advanced 11–12 – Year 12 · Random variables Draft mapping
No checked resources on this prerequisite dot point yet.
Distinguish between a standard normal distribution with mean 0 and standard deviation 1, and the non-standard normal distribution with mean μ and standard deviation σ
Mathematics Advanced 11–12 – Year 12 · Random variables Draft mapping
No checked resources on this prerequisite dot point yet.
Apply the empirical rule to make judgements and solve problems involving probabilities of normally distributed data: that for normal distributions, approximately 68% of data lie within one standard deviation of the mean, approximately 95% within two standard deviations of the mean and approximately 99.7% within three standard deviations of the mean
Mathematics Advanced 11–12 – Year 12 · Random variables Draft mapping
No checked resources on this prerequisite dot point yet.