[r] How to draw a standard normal distribution in R

I am pretty sure this is a duplicate. Anyway, have a look at the following piece of code

x <- seq(5, 15, length=1000)
y <- dnorm(x, mean=10, sd=3)
plot(x, y, type="l", lwd=1)

I'm sure you can work the rest out yourself, for the title you might want to look for something called main= and y-axis labels are also up to you.

If you want to see more of the tails of the distribution, why don't you try playing with the seq(5, 15, ) section? Finally, if you want to know more about what dnorm is doing I suggest you look here

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