Lesson plan

Quantile function

is the quantile function of the normal distribution. In probability and statistics, the quantile function of a probability distribution is the inverse of its cumulative distribution function. That is, the quantile function of a distribution \mathcal{D} is the function Q such that \Pr\left[\mathrm{X} \leq Q(p)\right] = p for any random variable \mathrm{X} \sim \mathcal{D} and probability p \in (0, 1) . The quantile function is also called the percentile function (after the percentile), percent-point function, inverse cumulative distribution function or inverse distribution function.

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Article summary

is the quantile function of the normal distribution. In probability and statistics, the quantile function of a probability distribution is the inverse of its cumulative distribution function. That is, the quantile function of a distribution \mathcal{D} is the function Q such that \Pr\left[\mathrm{X} \leq Q(p)\right] = p for any random variable \mathrm{X} \sim \mathcal{D} and probability p \in (0, 1) . The quantile function is also called the percentile function (after the percentile), percent-point function, inverse cumulative distribution function or inverse distribution function.

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  1. Summarise the article in your own words. Which single claim would you verify first, and why?
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