File:Standard Normal Distribution.png

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Summary

Description
English: The Standard Normal Probability Distribution with shaded regions
Date
Source Own work
Author D Wells
Other versions

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Licensing

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Source code

library(ggplot2)
p <- ggplot(NULL, aes(c(-4,4))) +
  geom_line(stat = "function", fun = dnorm) +
  geom_area(stat = "function", fun = dnorm, fill = scales::muted("blue"), xlim=c(-1,1), alpha=1/4) +
  geom_area(stat = "function", fun = dnorm, fill = scales::muted("blue"), xlim=c(-2,2), alpha=1/4) +
  geom_area(stat = "function", fun = dnorm, fill = scales::muted("blue"), xlim=c(-3,3), alpha=1/4) +
  theme_minimal() +
  theme(axis.text.x = element_text(size = 12)) +
  scale_x_continuous(labels = label_units, breaks = -4:4) +
  xlab("Standard Deviations from the Mean") +
  ylab("Probability Density") +
  geom_segment(aes(x=-1, xend=1, y=dnorm(1), yend=dnorm(1)), linetype="dashed") +
  geom_segment(aes(x=-2, xend=2, y=dnorm(2), yend=dnorm(2)), linetype="dashed") +
  geom_segment(aes(x=-3, xend=3, y=dnorm(3), yend=dnorm(3)), linetype="dashed") +
  annotate("text", x = 0, y = dnorm(1)+0.015, label = "68.3%") + #pnorm(1)-pnorm(-1) %
  annotate("text", x = 0, y = dnorm(2)+0.015, label = "95.4%") +
  annotate("text", x = 0, y = dnorm(3)+0.015, label = "99.7%")

ggsave("Normal_Distribution.png", p, width = 3.7*1.618, height = 3.7, dpi = 1000)
 
This chart was created with R.

Captions

The Standard Normal Probability Distribution

Items portrayed in this file

depicts

24 June 2019

image/png

File history

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Date/TimeDimensionsUserComment
current10:25, 24 June 20195,986 × 3,700 (752 KB)D WellsUser created page with UploadWizard

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