The heights of all adult males in Croatia are approximately normally distributed with a mean of 180 cm and a standard deviation of 7 cm. How tall must an adult male in Croatia be in order to be the tallest 5% of the males

Respuesta :

In standard normal distribution, the cutoff for the 95th percentile is about [tex]z\approx1.64[/tex]. So the cutoff height would be [tex]x[/tex] such that

[tex]\dfrac{x-180}7=1.64\implies x\approx191.48[/tex]

cm.