# a 
qnorm(0.005, 179, 11)
# [1] 150.6659 lower limit
qnorm(0.005, 179, 11, lower.tail = F)
# [1] 207.3341 upper limit

# b
qnorm(0.05, 179, 11, lower.tail = F)
# [1] 197.0934

# c
pnorm(200, 179, 11, lower.tail=F)*550
# [1] 15.46885

# d
1-pnorm(170, 179, 11, lower.tail=T)-pnorm(190, 179, 11, lower.tail=F)
# [1] 0.6347181