(a)
Find the z score
[ 20555 - 20500 ] / 55 = .1
This z score equates to .8413 = 84.13% of the days
(b)
Find the z score
[20610 - 20500] / 55 = 2
This score equates to .9772.....so the % days that the factory produced 20610 or more skateboards =
1 - .9772 = .0228 = 2.28% of the days
(c)
Find the z score
[20445 - 20500 ] / 55 = -1
This z score equates to .1587 = 15.87% of the days