# Computing normal probabilities and quantiles. 

# Take a look at the help file
help(Normal)

# plot the normal density N(0,1)
x <- seq(from=-5, to=5, length=500)
plot(x, dnorm(x, mean=0, sd=1))
# plot the normal density N(1,4)
x <- seq(from=-5, to=5, length=500)
plot(x, dnorm(x, mean=1, sd=2))

# Find the normal quantiles. 


qnorm(0.975)   # 97.5% pencentile

pnorm(1.645)   # Find the probability of Z <= 1.645 for Z ~ N(0,1).