Suppose the average age in a certain country is 30.5 years, with a std. dev. of 8 years.

Question:

38% of the pop. has ages between A and B. A's age is 38.5 and is older than B. How old is B?

My work:

38.5-30.5/8 = 8/8 = 1 = .8413

.8413-.38 = .4613

X-30.5/8 = ?

I am stuck on figureing out X

what do I need to do to figure out the rest of the problem and figure out B's age?

My friend got the answer 29.7 years not sure how to get there.