Height Distribution with the 68-95-99.7 Rule

Question

The heights distribution of a population is assumed to be normal, with mean height μ = 66.5 inches,
and the standard deviation height σ = 2.4 inches.

What is the percentage of people who are shorter than 59.3 inches or taller than
73.7 inches?

 

What is the percentage of people who are taller than 73.7 inches?

Answer 1

73.7-59.3 = 18,4

18.4/2.4 = 184/24 = 48/8= 6 standard deviations from the mean

that means about 99.99999...% , with nearly zero above or below

59.3 plus or minus 73,7