Answer
a. i) 68%, ii) 95%
b. intervals = [90, 270]
Work Step by Step
By Empirical rule, when k =1, the minimum percentage will be 68%
By Empirical rule, when k =2, the minimum percentage will be 95%
A
180-30k = 150
K=1,
minimum percentage 68%
B
180-30k = 120
K=2,
minimum percentage = 95%
b. By Empirical rule, when k =3, the minimum percentage will be 99.7%
180+30(3) =270
180-30(3)=90
Intervals = [ 90, 270 ]