Question 1137290
z=(x-mean)/sd
z=1.8=(x-45.1)/0.5
0.9=x-45.1
x=46 m ANSWER a

91st percentile z=1.341
Here, 1.341=(x-45)/0.5
0.67=x-45.1
x=45.8 m  (rounded) ANSWER b

less than 45 has a z=(45-45.1)/0.5 or a z<-.1/.5 or z<-0.2
That probability is 0.4207 ANSWER c

greater than 46.8 is z>1.7/0.5 or z> 3.4
This probability is 0.0003