Answer:
0.6826
Step-by-step explanation:
It is given that the heights of 18 year-old men are approximately normally distributed, with mean 69 inches and standard deviation 2 inches.
Let X be the heights of 18 year-old men
X is N(69, 2)
the probability that an 18 year-old man selected at random is between 68 and 70 inches tall
=[tex]P(68<x<70)[/tex]
we convert x score into Z score and then use table to find out the probability
We have [tex]z=\frac{x-69}{2}[/tex]
Thus the probability that an 18 year-old man selected at random is between 68 and 70 inches tall
=[tex]P(68<x<70)[/tex]
=[tex]P(-1<x<1)\\=0.6826[/tex]
