# Goal: Standard computations with well-studied distributions. # The normal distribution is named "norm". With this, we have: # Normal density dnorm(c(-1.96,0,1.96)) # Cumulative normal density pnorm(c(-1.96,0,1.96)) # Inverse of this qnorm(c(0.025,.5,.975)) pnorm(qnorm(c(0.025,.5,.975))) # 1000 random numbers from the normal distribution summary(rnorm(1000)) # Here's the same ideas, for the chi-squared distribution with 10 degrees # of freedom. dchisq(c(0,5,10), df=10) # Cumulative normal density pchisq(c(0,5,10), df=10) # Inverse of this qchisq(c(0.025,.5,.975), df=10) # 1000 random numbers from the normal distribution summary(rchisq(1000, df=10))