library(tidyverse)
## -- Attaching packages --------------------------------- tidyverse 1.3.0 --
## v ggplot2 3.3.2     v purrr   0.3.4
## v tibble  3.0.3     v dplyr   1.0.2
## v tidyr   1.1.2     v stringr 1.4.0
## v readr   1.3.1     v forcats 0.5.0
## -- Conflicts ------------------------------------ tidyverse_conflicts() --
## x dplyr::filter() masks stats::filter()
## x dplyr::lag()    masks stats::lag()
library(openintro)
## Loading required package: airports
## Loading required package: cherryblossom
## Loading required package: usdata

1a.

pnorm(1.5)-pnorm(-1.5)
## [1] 0.8663856

1b.

qnorm(.90, 18, 1.95)
## [1] 20.49903

2a

(76-91)/6.5

2b

1-pnorm(108, 91, 6.8)
## [1] 0.006209665

2c

qnorm(.9, 91, 6.8)
## [1] 99.71455