Bienuel Exercise 6

calculate the probability P(Z<0.43) - i.e. what is the probability of standard

normal variable taking a value less than 0.43?

pnorm(q = 0.43, mean = 0, sd = 1)

## [1] 0.6664022

calculate the \(Z\)-score satisfying P(Z<z)=0.80 - i.e. what value is at the 80th

percentile of a standard normal distribution?

qnorm(p = 0.8, mean = 0, sd = 1)

## [1] 0.8416212

calculate the probability P(X<=39) when X has Bin(n=400, p=0.145) distribution

pbinom(q = 39, size = 400, prob = 0.145, lower.tail = TRUE)

## [1] 0.003025954