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“K23166” — 2015/1/28 — 9:35 — page 43 — #69
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3.4. EXAMPLES 43
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Figure 3.2: Descriptive plot of the normal distribution
> library(mosaic)
> xpnorm(1.96, mean=0, sd=1)
If X ~ N(0,1), then
P(X <= 1.96) = P(Z <= 1.96) = 0.975
P(X > 1.96) = P(Z > 1.96) = 0.025
[1] 0.975