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Given a probability p and a distribution, you want to determine the corresponding quantile for p: the value x such that P(X ≤ x) = p.
Every built-in distribution in R programming includes a quantile function that converts probabilities to quantiles. The function’s name is “q” prefixed to the distribution name; thus, for instance, qnorm is the quantile function for the normal distribution, qt is for t distribution, etc.
qnorm(0.95, mean = 32, sd = 8)
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Statistics using R programming | Converting Probabilities to Quantiles with R | NatokHD