Hi mathmari,

I'm still waking up so forgive any errors in thought.

Your logic looks sound to me. The height of the giant from Indonesia is 173.6, and the question is what percent of the population in the Netherlands is taller than this?

So from here it just depends on the method you're expected to use. I work with statistics quite a bit and a program like R or even Wolfram Alpha will easily tell you that probability, but in general there are 4 ways I can think of:

1) Use a software package to output the probability.

2) Use the definition of the normal distribution and approximate this area by approximating an integral.

3) Standardize this distribution to a Normal(0,1) distribution, then look up the value in a table (very old method).

4) Use the fact that 2 SD above the mean for Indonesia is very close to one SD below the the mean for the Netherlands ($183-9.7 = 173.3$). If we use this as approximately 173.6 then we can use the

to estimate the probability.

It all depends on the expectation of the question. Which method do you think is most appropriate? In practice, (1) is definitely what we would do.