Question

What is the probability that a child, picked at a random, has a greater than 116 cm?

Answer 1

Average height $\mu =110cm$

Standard deviation $\sigma=6 cm$

Z score is = $\dfrac{x-\mu}{\sigma}$

      $=\dfrac{116-110}{6}=1$

$P(X>116)=P(z>1)=0.1587$