my question is related to normal distribution,namely as i know in GRE quantity section,there could be question related to normal distribution,but of course we will not have table,o how can we calculate probabilities?suppose such question,mean of soldiers height is $170$ cm and std(standard deviation) $10$,calculate probability that randomly selected soldiers height is $190$? $150$? between $173-184?$of course we know that total area of bell curve is $1$ and also convert given $X$ probability into z score by
$$ Z=\frac{X-\mu}{\sigma} $$
but without time table how could i solve?i dont want to make mistake on exam,i want to take exam in august.thanks in advance